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Finding the Third Proportional to 15,079.50 and 20,493

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Solution

The third proportional to 15,079.50 and 20,493 is: 27,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,079.50 : 20,493 = 20,493 : x
  2. Step 2: Convert to fraction form
    15,079.50/20,493 = 20,493/x
  3. Step 3: Cross multiply
    15,079.50x = 20,493 × 20,493
  4. Step 4: Simplify right side
    15,079.50x = 419,963,049
  5. Step 5: Solve for x
    x = 419,963,049/15,079.50
  6. Step 6: Final answer
    x = 27,849.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.