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Finding the Third Proportional to 26,474 and 38,901

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Solution

The third proportional to 26,474 and 38,901 is: 57,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,474 : 38,901 = 38,901 : x
  2. Step 2: Convert to fraction form
    26,474/38,901 = 38,901/x
  3. Step 3: Cross multiply
    26,474x = 38,901 × 38,901
  4. Step 4: Simplify right side
    26,474x = 1,513,287,801
  5. Step 5: Solve for x
    x = 1,513,287,801/26,474
  6. Step 6: Final answer
    x = 57,161.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.