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Finding the Third Proportional to 12.52 and 27.48

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Solution

The third proportional to 12.52 and 27.48 is: 60.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.52 : 27.48 = 27.48 : x
  2. Step 2: Convert to fraction form
    12.52/27.48 = 27.48/x
  3. Step 3: Cross multiply
    12.52x = 27.48 × 27.48
  4. Step 4: Simplify right side
    12.52x = 755.33
  5. Step 5: Solve for x
    x = 755.33/12.52
  6. Step 6: Final answer
    x = 60.31

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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.