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Finding the Third Proportional to 60.38 and 91.44

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Solution

The third proportional to 60.38 and 91.44 is: 138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.38 : 91.44 = 91.44 : x
  2. Step 2: Convert to fraction form
    60.38/91.44 = 91.44/x
  3. Step 3: Cross multiply
    60.38x = 91.44 × 91.44
  4. Step 4: Simplify right side
    60.38x = 8,361.53
  5. Step 5: Solve for x
    x = 8,361.53/60.38
  6. Step 6: Final answer
    x = 138.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.