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Finding the Third Proportional to 8,071.31 and 17,119.69

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Solution

The third proportional to 8,071.31 and 17,119.69 is: 36,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.31 : 17,119.69 = 17,119.69 : x
  2. Step 2: Convert to fraction form
    8,071.31/17,119.69 = 17,119.69/x
  3. Step 3: Cross multiply
    8,071.31x = 17,119.69 × 17,119.69
  4. Step 4: Simplify right side
    8,071.31x = 293,083,700.10
  5. Step 5: Solve for x
    x = 293,083,700.10/8,071.31
  6. Step 6: Final answer
    x = 36,311.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.