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Finding the Third Proportional to 26,403 and 57,727

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Solution

The third proportional to 26,403 and 57,727 is: 126,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,403 : 57,727 = 57,727 : x
  2. Step 2: Convert to fraction form
    26,403/57,727 = 57,727/x
  3. Step 3: Cross multiply
    26,403x = 57,727 × 57,727
  4. Step 4: Simplify right side
    26,403x = 3,332,406,529
  5. Step 5: Solve for x
    x = 3,332,406,529/26,403
  6. Step 6: Final answer
    x = 126,213.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.