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Finding the Third Proportional to 7,306.75 and 15,843.13

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Solution

The third proportional to 7,306.75 and 15,843.13 is: 34,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.75 : 15,843.13 = 15,843.13 : x
  2. Step 2: Convert to fraction form
    7,306.75/15,843.13 = 15,843.13/x
  3. Step 3: Cross multiply
    7,306.75x = 15,843.13 × 15,843.13
  4. Step 4: Simplify right side
    7,306.75x = 251,004,609.77
  5. Step 5: Solve for x
    x = 251,004,609.77/7,306.75
  6. Step 6: Final answer
    x = 34,352.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.