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Finding the Third Proportional to 3,408.50 and 4,823.50

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Solution

The third proportional to 3,408.50 and 4,823.50 is: 6,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.50 : 4,823.50 = 4,823.50 : x
  2. Step 2: Convert to fraction form
    3,408.50/4,823.50 = 4,823.50/x
  3. Step 3: Cross multiply
    3,408.50x = 4,823.50 × 4,823.50
  4. Step 4: Simplify right side
    3,408.50x = 23,266,152.25
  5. Step 5: Solve for x
    x = 23,266,152.25/3,408.50
  6. Step 6: Final answer
    x = 6,825.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.