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Finding the Third Proportional to 56.60 and 82.23

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Solution

The third proportional to 56.60 and 82.23 is: 119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.60 : 82.23 = 82.23 : x
  2. Step 2: Convert to fraction form
    56.60/82.23 = 82.23/x
  3. Step 3: Cross multiply
    56.60x = 82.23 × 82.23
  4. Step 4: Simplify right side
    56.60x = 6,761.13
  5. Step 5: Solve for x
    x = 6,761.13/56.60
  6. Step 6: Final answer
    x = 119.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.