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Finding the Third Proportional to 24,975 and 53,129

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Solution

The third proportional to 24,975 and 53,129 is: 113,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,975 : 53,129 = 53,129 : x
  2. Step 2: Convert to fraction form
    24,975/53,129 = 53,129/x
  3. Step 3: Cross multiply
    24,975x = 53,129 × 53,129
  4. Step 4: Simplify right side
    24,975x = 2,822,690,641
  5. Step 5: Solve for x
    x = 2,822,690,641/24,975
  6. Step 6: Final answer
    x = 113,020.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.