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Finding the Third Proportional to 6,948.75 and 13,546.50

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Solution

The third proportional to 6,948.75 and 13,546.50 is: 26,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.75 : 13,546.50 = 13,546.50 : x
  2. Step 2: Convert to fraction form
    6,948.75/13,546.50 = 13,546.50/x
  3. Step 3: Cross multiply
    6,948.75x = 13,546.50 × 13,546.50
  4. Step 4: Simplify right side
    6,948.75x = 183,507,662.25
  5. Step 5: Solve for x
    x = 183,507,662.25/6,948.75
  6. Step 6: Final answer
    x = 26,408.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.