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Finding the Third Proportional to 800.25 and 1,732.13

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Solution

The third proportional to 800.25 and 1,732.13 is: 3,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.25 : 1,732.13 = 1,732.13 : x
  2. Step 2: Convert to fraction form
    800.25/1,732.13 = 1,732.13/x
  3. Step 3: Cross multiply
    800.25x = 1,732.13 × 1,732.13
  4. Step 4: Simplify right side
    800.25x = 3,000,257.02
  5. Step 5: Solve for x
    x = 3,000,257.02/800.25
  6. Step 6: Final answer
    x = 3,749.15

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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.