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Finding the Third Proportional to 39,344 and 62,395

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Solution

The third proportional to 39,344 and 62,395 is: 98,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,344 : 62,395 = 62,395 : x
  2. Step 2: Convert to fraction form
    39,344/62,395 = 62,395/x
  3. Step 3: Cross multiply
    39,344x = 62,395 × 62,395
  4. Step 4: Simplify right side
    39,344x = 3,893,136,025
  5. Step 5: Solve for x
    x = 3,893,136,025/39,344
  6. Step 6: Final answer
    x = 98,951.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.