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Finding the Third Proportional to 15,122.25 and 24,020.44

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Solution

The third proportional to 15,122.25 and 24,020.44 is: 38,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.25 : 24,020.44 = 24,020.44 : x
  2. Step 2: Convert to fraction form
    15,122.25/24,020.44 = 24,020.44/x
  3. Step 3: Cross multiply
    15,122.25x = 24,020.44 × 24,020.44
  4. Step 4: Simplify right side
    15,122.25x = 576,981,417.69
  5. Step 5: Solve for x
    x = 576,981,417.69/15,122.25
  6. Step 6: Final answer
    x = 38,154.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.