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Finding the Third Proportional to 24.25 and 27.13

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Solution

The third proportional to 24.25 and 27.13 is: 30.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.25 : 27.13 = 27.13 : x
  2. Step 2: Convert to fraction form
    24.25/27.13 = 27.13/x
  3. Step 3: Cross multiply
    24.25x = 27.13 × 27.13
  4. Step 4: Simplify right side
    24.25x = 735.77
  5. Step 5: Solve for x
    x = 735.77/24.25
  6. Step 6: Final answer
    x = 30.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.