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Finding the Third Proportional to 8,059.88 and 17,310.38

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Solution

The third proportional to 8,059.88 and 17,310.38 is: 37,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.88 : 17,310.38 = 17,310.38 : x
  2. Step 2: Convert to fraction form
    8,059.88/17,310.38 = 17,310.38/x
  3. Step 3: Cross multiply
    8,059.88x = 17,310.38 × 17,310.38
  4. Step 4: Simplify right side
    8,059.88x = 299,649,082.64
  5. Step 5: Solve for x
    x = 299,649,082.64/8,059.88
  6. Step 6: Final answer
    x = 37,177.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.