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Finding the Third Proportional to 844.13 and 925.13

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Solution

The third proportional to 844.13 and 925.13 is: 1,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.13 : 925.13 = 925.13 : x
  2. Step 2: Convert to fraction form
    844.13/925.13 = 925.13/x
  3. Step 3: Cross multiply
    844.13x = 925.13 × 925.13
  4. Step 4: Simplify right side
    844.13x = 855,856.27
  5. Step 5: Solve for x
    x = 855,856.27/844.13
  6. Step 6: Final answer
    x = 1,013.90

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.