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Finding the Third Proportional to 29,727 and 55,755

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Solution

The third proportional to 29,727 and 55,755 is: 104,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,727 : 55,755 = 55,755 : x
  2. Step 2: Convert to fraction form
    29,727/55,755 = 55,755/x
  3. Step 3: Cross multiply
    29,727x = 55,755 × 55,755
  4. Step 4: Simplify right side
    29,727x = 3,108,620,025
  5. Step 5: Solve for x
    x = 3,108,620,025/29,727
  6. Step 6: Final answer
    x = 104,572.28

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.