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Finding the Third Proportional to 5,239.69 and 11,231.16

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Solution

The third proportional to 5,239.69 and 11,231.16 is: 24,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.69 : 11,231.16 = 11,231.16 : x
  2. Step 2: Convert to fraction form
    5,239.69/11,231.16 = 11,231.16/x
  3. Step 3: Cross multiply
    5,239.69x = 11,231.16 × 11,231.16
  4. Step 4: Simplify right side
    5,239.69x = 126,138,870.71
  5. Step 5: Solve for x
    x = 126,138,870.71/5,239.69
  6. Step 6: Final answer
    x = 24,073.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.