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Finding the Third Proportional to 3,402.24 and 7,265.79

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Solution

The third proportional to 3,402.24 and 7,265.79 is: 15,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.24 : 7,265.79 = 7,265.79 : x
  2. Step 2: Convert to fraction form
    3,402.24/7,265.79 = 7,265.79/x
  3. Step 3: Cross multiply
    3,402.24x = 7,265.79 × 7,265.79
  4. Step 4: Simplify right side
    3,402.24x = 52,791,775.85
  5. Step 5: Solve for x
    x = 52,791,775.85/3,402.24
  6. Step 6: Final answer
    x = 15,516.78

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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.