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Finding the Third Proportional to 41.13 and 56.32

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Solution

The third proportional to 41.13 and 56.32 is: 77.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.13 : 56.32 = 56.32 : x
  2. Step 2: Convert to fraction form
    41.13/56.32 = 56.32/x
  3. Step 3: Cross multiply
    41.13x = 56.32 × 56.32
  4. Step 4: Simplify right side
    41.13x = 3,171.98
  5. Step 5: Solve for x
    x = 3,171.98/41.13
  6. Step 6: Final answer
    x = 77.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.