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Finding the Third Proportional to 41.16 and 60.66

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Solution

The third proportional to 41.16 and 60.66 is: 89.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.16 : 60.66 = 60.66 : x
  2. Step 2: Convert to fraction form
    41.16/60.66 = 60.66/x
  3. Step 3: Cross multiply
    41.16x = 60.66 × 60.66
  4. Step 4: Simplify right side
    41.16x = 3,679.18
  5. Step 5: Solve for x
    x = 3,679.18/41.16
  6. Step 6: Final answer
    x = 89.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.