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Finding the Third Proportional to 38.95 and 61.11

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Solution

The third proportional to 38.95 and 61.11 is: 95.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.95 : 61.11 = 61.11 : x
  2. Step 2: Convert to fraction form
    38.95/61.11 = 61.11/x
  3. Step 3: Cross multiply
    38.95x = 61.11 × 61.11
  4. Step 4: Simplify right side
    38.95x = 3,733.94
  5. Step 5: Solve for x
    x = 3,733.94/38.95
  6. Step 6: Final answer
    x = 95.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.