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Finding the Third Proportional to 54.19 and 61.13

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Solution

The third proportional to 54.19 and 61.13 is: 68.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.19 : 61.13 = 61.13 : x
  2. Step 2: Convert to fraction form
    54.19/61.13 = 61.13/x
  3. Step 3: Cross multiply
    54.19x = 61.13 × 61.13
  4. Step 4: Simplify right side
    54.19x = 3,736.27
  5. Step 5: Solve for x
    x = 3,736.27/54.19
  6. Step 6: Final answer
    x = 68.95

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.