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Finding the Third Proportional to 17,766 and 36,539

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Solution

The third proportional to 17,766 and 36,539 is: 75,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,766 : 36,539 = 36,539 : x
  2. Step 2: Convert to fraction form
    17,766/36,539 = 36,539/x
  3. Step 3: Cross multiply
    17,766x = 36,539 × 36,539
  4. Step 4: Simplify right side
    17,766x = 1,335,098,521
  5. Step 5: Solve for x
    x = 1,335,098,521/17,766
  6. Step 6: Final answer
    x = 75,149.08

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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.