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Finding the Third Proportional to 17,065 and 36,651

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Solution

The third proportional to 17,065 and 36,651 is: 78,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065 : 36,651 = 36,651 : x
  2. Step 2: Convert to fraction form
    17,065/36,651 = 36,651/x
  3. Step 3: Cross multiply
    17,065x = 36,651 × 36,651
  4. Step 4: Simplify right side
    17,065x = 1,343,295,801
  5. Step 5: Solve for x
    x = 1,343,295,801/17,065
  6. Step 6: Final answer
    x = 78,716.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.