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Finding the Third Proportional to 8,031.46 and 17,549.39

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Solution

The third proportional to 8,031.46 and 17,549.39 is: 38,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.46 : 17,549.39 = 17,549.39 : x
  2. Step 2: Convert to fraction form
    8,031.46/17,549.39 = 17,549.39/x
  3. Step 3: Cross multiply
    8,031.46x = 17,549.39 × 17,549.39
  4. Step 4: Simplify right side
    8,031.46x = 307,981,214.14
  5. Step 5: Solve for x
    x = 307,981,214.14/8,031.46
  6. Step 6: Final answer
    x = 38,346.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.