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Finding the Third Proportional to 26,663 and 61,727

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Solution

The third proportional to 26,663 and 61,727 is: 142,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,663 : 61,727 = 61,727 : x
  2. Step 2: Convert to fraction form
    26,663/61,727 = 61,727/x
  3. Step 3: Cross multiply
    26,663x = 61,727 × 61,727
  4. Step 4: Simplify right side
    26,663x = 3,810,222,529
  5. Step 5: Solve for x
    x = 3,810,222,529/26,663
  6. Step 6: Final answer
    x = 142,902.99

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.