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Finding the Third Proportional to 807.61 and 1,744.17

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Solution

The third proportional to 807.61 and 1,744.17 is: 3,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.61 : 1,744.17 = 1,744.17 : x
  2. Step 2: Convert to fraction form
    807.61/1,744.17 = 1,744.17/x
  3. Step 3: Cross multiply
    807.61x = 1,744.17 × 1,744.17
  4. Step 4: Simplify right side
    807.61x = 3,042,135.53
  5. Step 5: Solve for x
    x = 3,042,135.53/807.61
  6. Step 6: Final answer
    x = 3,766.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.