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Finding the Third Proportional to 56.06 and 80.44

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Solution

The third proportional to 56.06 and 80.44 is: 115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.06 : 80.44 = 80.44 : x
  2. Step 2: Convert to fraction form
    56.06/80.44 = 80.44/x
  3. Step 3: Cross multiply
    56.06x = 80.44 × 80.44
  4. Step 4: Simplify right side
    56.06x = 6,470.19
  5. Step 5: Solve for x
    x = 6,470.19/56.06
  6. Step 6: Final answer
    x = 115.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.