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Finding the Third Proportional to 8,342.44 and 11,260.69

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Solution

The third proportional to 8,342.44 and 11,260.69 is: 15,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.44 : 11,260.69 = 11,260.69 : x
  2. Step 2: Convert to fraction form
    8,342.44/11,260.69 = 11,260.69/x
  3. Step 3: Cross multiply
    8,342.44x = 11,260.69 × 11,260.69
  4. Step 4: Simplify right side
    8,342.44x = 126,803,082.97
  5. Step 5: Solve for x
    x = 126,803,082.97/8,342.44
  6. Step 6: Final answer
    x = 15,199.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.