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Finding the Third Proportional to 41.66 and 56.24

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Solution

The third proportional to 41.66 and 56.24 is: 75.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.66 : 56.24 = 56.24 : x
  2. Step 2: Convert to fraction form
    41.66/56.24 = 56.24/x
  3. Step 3: Cross multiply
    41.66x = 56.24 × 56.24
  4. Step 4: Simplify right side
    41.66x = 3,162.99
  5. Step 5: Solve for x
    x = 3,162.99/41.66
  6. Step 6: Final answer
    x = 75.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.