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Finding the Third Proportional to 13 and 26.88

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Solution

The third proportional to 13 and 26.88 is: 55.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13 : 26.88 = 26.88 : x
  2. Step 2: Convert to fraction form
    13/26.88 = 26.88/x
  3. Step 3: Cross multiply
    13x = 26.88 × 26.88
  4. Step 4: Simplify right side
    13x = 722.27
  5. Step 5: Solve for x
    x = 722.27/13
  6. Step 6: Final answer
    x = 55.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.