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Finding the Third Proportional to 10,272.45 and 15,519.73

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Solution

The third proportional to 10,272.45 and 15,519.73 is: 23,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.45 : 15,519.73 = 15,519.73 : x
  2. Step 2: Convert to fraction form
    10,272.45/15,519.73 = 15,519.73/x
  3. Step 3: Cross multiply
    10,272.45x = 15,519.73 × 15,519.73
  4. Step 4: Simplify right side
    10,272.45x = 240,861,912.57
  5. Step 5: Solve for x
    x = 240,861,912.57/10,272.45
  6. Step 6: Final answer
    x = 23,447.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.