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Finding the Third Proportional to 20.75 and 54.13

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Solution

The third proportional to 20.75 and 54.13 is: 141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.75 : 54.13 = 54.13 : x
  2. Step 2: Convert to fraction form
    20.75/54.13 = 54.13/x
  3. Step 3: Cross multiply
    20.75x = 54.13 × 54.13
  4. Step 4: Simplify right side
    20.75x = 2,929.52
  5. Step 5: Solve for x
    x = 2,929.52/20.75
  6. Step 6: Final answer
    x = 141.18

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.