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Finding the Third Proportional to 39,936 and 62,646

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Solution

The third proportional to 39,936 and 62,646 is: 98,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,936 : 62,646 = 62,646 : x
  2. Step 2: Convert to fraction form
    39,936/62,646 = 62,646/x
  3. Step 3: Cross multiply
    39,936x = 62,646 × 62,646
  4. Step 4: Simplify right side
    39,936x = 3,924,521,316
  5. Step 5: Solve for x
    x = 3,924,521,316/39,936
  6. Step 6: Final answer
    x = 98,270.27

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.