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Finding the Third Proportional to 15,136.88 and 22,710.38

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Solution

The third proportional to 15,136.88 and 22,710.38 is: 34,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,136.88 : 22,710.38 = 22,710.38 : x
  2. Step 2: Convert to fraction form
    15,136.88/22,710.38 = 22,710.38/x
  3. Step 3: Cross multiply
    15,136.88x = 22,710.38 × 22,710.38
  4. Step 4: Simplify right side
    15,136.88x = 515,761,132.64
  5. Step 5: Solve for x
    x = 515,761,132.64/15,136.88
  6. Step 6: Final answer
    x = 34,073.16

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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.