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Finding the Third Proportional to 844.13 and 1,732.13

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Solution

The third proportional to 844.13 and 1,732.13 is: 3,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.13 : 1,732.13 = 1,732.13 : x
  2. Step 2: Convert to fraction form
    844.13/1,732.13 = 1,732.13/x
  3. Step 3: Cross multiply
    844.13x = 1,732.13 × 1,732.13
  4. Step 4: Simplify right side
    844.13x = 3,000,257.02
  5. Step 5: Solve for x
    x = 3,000,257.02/844.13
  6. Step 6: Final answer
    x = 3,554.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.