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Finding the Third Proportional to 41.29 and 65.97

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Solution

The third proportional to 41.29 and 65.97 is: 105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.29 : 65.97 = 65.97 : x
  2. Step 2: Convert to fraction form
    41.29/65.97 = 65.97/x
  3. Step 3: Cross multiply
    41.29x = 65.97 × 65.97
  4. Step 4: Simplify right side
    41.29x = 4,352.13
  5. Step 5: Solve for x
    x = 4,352.13/41.29
  6. Step 6: Final answer
    x = 105.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.