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Finding the Third Proportional to 7,882.31 and 17,587.13

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Solution

The third proportional to 7,882.31 and 17,587.13 is: 39,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.31 : 17,587.13 = 17,587.13 : x
  2. Step 2: Convert to fraction form
    7,882.31/17,587.13 = 17,587.13/x
  3. Step 3: Cross multiply
    7,882.31x = 17,587.13 × 17,587.13
  4. Step 4: Simplify right side
    7,882.31x = 309,306,965.77
  5. Step 5: Solve for x
    x = 309,306,965.77/7,882.31
  6. Step 6: Final answer
    x = 39,240.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.