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Finding the Third Proportional to 39,866 and 84,592

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Solution

The third proportional to 39,866 and 84,592 is: 179,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,866 : 84,592 = 84,592 : x
  2. Step 2: Convert to fraction form
    39,866/84,592 = 84,592/x
  3. Step 3: Cross multiply
    39,866x = 84,592 × 84,592
  4. Step 4: Simplify right side
    39,866x = 7,155,806,464
  5. Step 5: Solve for x
    x = 7,155,806,464/39,866
  6. Step 6: Final answer
    x = 179,496.47

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.