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Finding the Third Proportional to 8,272.13 and 22,472.44

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Solution

The third proportional to 8,272.13 and 22,472.44 is: 61,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.13 : 22,472.44 = 22,472.44 : x
  2. Step 2: Convert to fraction form
    8,272.13/22,472.44 = 22,472.44/x
  3. Step 3: Cross multiply
    8,272.13x = 22,472.44 × 22,472.44
  4. Step 4: Simplify right side
    8,272.13x = 505,010,447.19
  5. Step 5: Solve for x
    x = 505,010,447.19/8,272.13
  6. Step 6: Final answer
    x = 61,049.66

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.