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Finding the Third Proportional to 442.13 and 961.13

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Solution

The third proportional to 442.13 and 961.13 is: 2,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.13 : 961.13 = 961.13 : x
  2. Step 2: Convert to fraction form
    442.13/961.13 = 961.13/x
  3. Step 3: Cross multiply
    442.13x = 961.13 × 961.13
  4. Step 4: Simplify right side
    442.13x = 923,761.27
  5. Step 5: Solve for x
    x = 923,761.27/442.13
  6. Step 6: Final answer
    x = 2,089.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.