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Finding the Third Proportional to 3,930.19 and 8,472.66

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Solution

The third proportional to 3,930.19 and 8,472.66 is: 18,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.19 : 8,472.66 = 8,472.66 : x
  2. Step 2: Convert to fraction form
    3,930.19/8,472.66 = 8,472.66/x
  3. Step 3: Cross multiply
    3,930.19x = 8,472.66 × 8,472.66
  4. Step 4: Simplify right side
    3,930.19x = 71,785,903.93
  5. Step 5: Solve for x
    x = 71,785,903.93/3,930.19
  6. Step 6: Final answer
    x = 18,265.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.