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Finding the Third Proportional to 52.13 and 80.44

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Solution

The third proportional to 52.13 and 80.44 is: 124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.13 : 80.44 = 80.44 : x
  2. Step 2: Convert to fraction form
    52.13/80.44 = 80.44/x
  3. Step 3: Cross multiply
    52.13x = 80.44 × 80.44
  4. Step 4: Simplify right side
    52.13x = 6,470.19
  5. Step 5: Solve for x
    x = 6,470.19/52.13
  6. Step 6: Final answer
    x = 124.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.