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Finding the Third Proportional to 6,939 and 10,408.50

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Solution

The third proportional to 6,939 and 10,408.50 is: 15,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939 : 10,408.50 = 10,408.50 : x
  2. Step 2: Convert to fraction form
    6,939/10,408.50 = 10,408.50/x
  3. Step 3: Cross multiply
    6,939x = 10,408.50 × 10,408.50
  4. Step 4: Simplify right side
    6,939x = 108,336,872.25
  5. Step 5: Solve for x
    x = 108,336,872.25/6,939
  6. Step 6: Final answer
    x = 15,612.75

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.