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Finding the Third Proportional to 25,872.75 and 38,917.13

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Solution

The third proportional to 25,872.75 and 38,917.13 is: 58,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872.75 : 38,917.13 = 38,917.13 : x
  2. Step 2: Convert to fraction form
    25,872.75/38,917.13 = 38,917.13/x
  3. Step 3: Cross multiply
    25,872.75x = 38,917.13 × 38,917.13
  4. Step 4: Simplify right side
    25,872.75x = 1,514,542,618.27
  5. Step 5: Solve for x
    x = 1,514,542,618.27/25,872.75
  6. Step 6: Final answer
    x = 58,538.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.