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Finding the Third Proportional to 7,882.31 and 17,065.69

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Solution

The third proportional to 7,882.31 and 17,065.69 is: 36,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.31 : 17,065.69 = 17,065.69 : x
  2. Step 2: Convert to fraction form
    7,882.31/17,065.69 = 17,065.69/x
  3. Step 3: Cross multiply
    7,882.31x = 17,065.69 × 17,065.69
  4. Step 4: Simplify right side
    7,882.31x = 291,237,689.85
  5. Step 5: Solve for x
    x = 291,237,689.85/7,882.31
  6. Step 6: Final answer
    x = 36,948.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.