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Finding the Third Proportional to 39,042 and 62,076

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Solution

The third proportional to 39,042 and 62,076 is: 98,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,042 : 62,076 = 62,076 : x
  2. Step 2: Convert to fraction form
    39,042/62,076 = 62,076/x
  3. Step 3: Cross multiply
    39,042x = 62,076 × 62,076
  4. Step 4: Simplify right side
    39,042x = 3,853,429,776
  5. Step 5: Solve for x
    x = 3,853,429,776/39,042
  6. Step 6: Final answer
    x = 98,699.60

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