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Finding the Third Proportional to 7,231.88 and 14,665.13

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Solution

The third proportional to 7,231.88 and 14,665.13 is: 29,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.88 : 14,665.13 = 14,665.13 : x
  2. Step 2: Convert to fraction form
    7,231.88/14,665.13 = 14,665.13/x
  3. Step 3: Cross multiply
    7,231.88x = 14,665.13 × 14,665.13
  4. Step 4: Simplify right side
    7,231.88x = 215,065,891.27
  5. Step 5: Solve for x
    x = 215,065,891.27/7,231.88
  6. Step 6: Final answer
    x = 29,738.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.