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Finding the Third Proportional to 12.13 and 26.47

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Solution

The third proportional to 12.13 and 26.47 is: 57.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.13 : 26.47 = 26.47 : x
  2. Step 2: Convert to fraction form
    12.13/26.47 = 26.47/x
  3. Step 3: Cross multiply
    12.13x = 26.47 × 26.47
  4. Step 4: Simplify right side
    12.13x = 700.80
  5. Step 5: Solve for x
    x = 700.80/12.13
  6. Step 6: Final answer
    x = 57.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.