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Finding the Third Proportional to 26,632 and 57,414

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Solution

The third proportional to 26,632 and 57,414 is: 123,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,632 : 57,414 = 57,414 : x
  2. Step 2: Convert to fraction form
    26,632/57,414 = 57,414/x
  3. Step 3: Cross multiply
    26,632x = 57,414 × 57,414
  4. Step 4: Simplify right side
    26,632x = 3,296,367,396
  5. Step 5: Solve for x
    x = 3,296,367,396/26,632
  6. Step 6: Final answer
    x = 123,774.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.