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Finding the Third Proportional to 13.01 and 26.86

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Solution

The third proportional to 13.01 and 26.86 is: 55.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.01 : 26.86 = 26.86 : x
  2. Step 2: Convert to fraction form
    13.01/26.86 = 26.86/x
  3. Step 3: Cross multiply
    13.01x = 26.86 × 26.86
  4. Step 4: Simplify right side
    13.01x = 721.43
  5. Step 5: Solve for x
    x = 721.43/13.01
  6. Step 6: Final answer
    x = 55.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.