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Finding the Third Proportional to 8,179.31 and 16,966.13

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Solution

The third proportional to 8,179.31 and 16,966.13 is: 35,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.31 : 16,966.13 = 16,966.13 : x
  2. Step 2: Convert to fraction form
    8,179.31/16,966.13 = 16,966.13/x
  3. Step 3: Cross multiply
    8,179.31x = 16,966.13 × 16,966.13
  4. Step 4: Simplify right side
    8,179.31x = 287,849,397.52
  5. Step 5: Solve for x
    x = 287,849,397.52/8,179.31
  6. Step 6: Final answer
    x = 35,192.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.