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Finding the Third Proportional to 7,766 and 17,098

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Solution

The third proportional to 7,766 and 17,098 is: 37,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766 : 17,098 = 17,098 : x
  2. Step 2: Convert to fraction form
    7,766/17,098 = 17,098/x
  3. Step 3: Cross multiply
    7,766x = 17,098 × 17,098
  4. Step 4: Simplify right side
    7,766x = 292,341,604
  5. Step 5: Solve for x
    x = 292,341,604/7,766
  6. Step 6: Final answer
    x = 37,643.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.