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Finding the Third Proportional to 5.74 and 12.55

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Solution

The third proportional to 5.74 and 12.55 is: 27.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.74 : 12.55 = 12.55 : x
  2. Step 2: Convert to fraction form
    5.74/12.55 = 12.55/x
  3. Step 3: Cross multiply
    5.74x = 12.55 × 12.55
  4. Step 4: Simplify right side
    5.74x = 157.44
  5. Step 5: Solve for x
    x = 157.44/5.74
  6. Step 6: Final answer
    x = 27.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.