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Finding the Third Proportional to 41.06 and 61.88

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Solution

The third proportional to 41.06 and 61.88 is: 93.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.06 : 61.88 = 61.88 : x
  2. Step 2: Convert to fraction form
    41.06/61.88 = 61.88/x
  3. Step 3: Cross multiply
    41.06x = 61.88 × 61.88
  4. Step 4: Simplify right side
    41.06x = 3,828.52
  5. Step 5: Solve for x
    x = 3,828.52/41.06
  6. Step 6: Final answer
    x = 93.24

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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.