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Finding the Third Proportional to 9,215.73 and 15,879.24

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Solution

The third proportional to 9,215.73 and 15,879.24 is: 27,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.73 : 15,879.24 = 15,879.24 : x
  2. Step 2: Convert to fraction form
    9,215.73/15,879.24 = 15,879.24/x
  3. Step 3: Cross multiply
    9,215.73x = 15,879.24 × 15,879.24
  4. Step 4: Simplify right side
    9,215.73x = 252,150,363.46
  5. Step 5: Solve for x
    x = 252,150,363.46/9,215.73
  6. Step 6: Final answer
    x = 27,360.87

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.