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Finding the Third Proportional to 8,614 and 17,778

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Solution

The third proportional to 8,614 and 17,778 is: 36,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614 : 17,778 = 17,778 : x
  2. Step 2: Convert to fraction form
    8,614/17,778 = 17,778/x
  3. Step 3: Cross multiply
    8,614x = 17,778 × 17,778
  4. Step 4: Simplify right side
    8,614x = 316,057,284
  5. Step 5: Solve for x
    x = 316,057,284/8,614
  6. Step 6: Final answer
    x = 36,691.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.