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Finding the Third Proportional to 8,089.88 and 17,107.88

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Solution

The third proportional to 8,089.88 and 17,107.88 is: 36,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.88 : 17,107.88 = 17,107.88 : x
  2. Step 2: Convert to fraction form
    8,089.88/17,107.88 = 17,107.88/x
  3. Step 3: Cross multiply
    8,089.88x = 17,107.88 × 17,107.88
  4. Step 4: Simplify right side
    8,089.88x = 292,679,387.02
  5. Step 5: Solve for x
    x = 292,679,387.02/8,089.88
  6. Step 6: Final answer
    x = 36,178.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.