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Finding the Third Proportional to 24,601 and 53,279

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Solution

The third proportional to 24,601 and 53,279 is: 115,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,601 : 53,279 = 53,279 : x
  2. Step 2: Convert to fraction form
    24,601/53,279 = 53,279/x
  3. Step 3: Cross multiply
    24,601x = 53,279 × 53,279
  4. Step 4: Simplify right side
    24,601x = 2,838,651,841
  5. Step 5: Solve for x
    x = 2,838,651,841/24,601
  6. Step 6: Final answer
    x = 115,387.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.