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Finding the Third Proportional to 807.89 and 1,744.73

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Solution

The third proportional to 807.89 and 1,744.73 is: 3,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.89 : 1,744.73 = 1,744.73 : x
  2. Step 2: Convert to fraction form
    807.89/1,744.73 = 1,744.73/x
  3. Step 3: Cross multiply
    807.89x = 1,744.73 × 1,744.73
  4. Step 4: Simplify right side
    807.89x = 3,044,098.04
  5. Step 5: Solve for x
    x = 3,044,098.04/807.89
  6. Step 6: Final answer
    x = 3,767.96

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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.