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Finding the Third Proportional to 8,882.16 and 19,131.19

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Solution

The third proportional to 8,882.16 and 19,131.19 is: 41,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,882.16 : 19,131.19 = 19,131.19 : x
  2. Step 2: Convert to fraction form
    8,882.16/19,131.19 = 19,131.19/x
  3. Step 3: Cross multiply
    8,882.16x = 19,131.19 × 19,131.19
  4. Step 4: Simplify right side
    8,882.16x = 366,002,335.16
  5. Step 5: Solve for x
    x = 366,002,335.16/8,882.16
  6. Step 6: Final answer
    x = 41,206.47

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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.