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Finding the Third Proportional to 61.13 and 82.13

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Solution

The third proportional to 61.13 and 82.13 is: 110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.13 : 82.13 = 82.13 : x
  2. Step 2: Convert to fraction form
    61.13/82.13 = 82.13/x
  3. Step 3: Cross multiply
    61.13x = 82.13 × 82.13
  4. Step 4: Simplify right side
    61.13x = 6,744.52
  5. Step 5: Solve for x
    x = 6,744.52/61.13
  6. Step 6: Final answer
    x = 110.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.