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Finding the Third Proportional to 55.13 and 82.41

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Solution

The third proportional to 55.13 and 82.41 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.13 : 82.41 = 82.41 : x
  2. Step 2: Convert to fraction form
    55.13/82.41 = 82.41/x
  3. Step 3: Cross multiply
    55.13x = 82.41 × 82.41
  4. Step 4: Simplify right side
    55.13x = 6,790.79
  5. Step 5: Solve for x
    x = 6,790.79/55.13
  6. Step 6: Final answer
    x = 123.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.