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Finding the Third Proportional to 41.06 and 56.53

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Solution

The third proportional to 41.06 and 56.53 is: 77.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.06 : 56.53 = 56.53 : x
  2. Step 2: Convert to fraction form
    41.06/56.53 = 56.53/x
  3. Step 3: Cross multiply
    41.06x = 56.53 × 56.53
  4. Step 4: Simplify right side
    41.06x = 3,195.78
  5. Step 5: Solve for x
    x = 3,195.78/41.06
  6. Step 6: Final answer
    x = 77.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.