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Finding the Third Proportional to 13.59 and 28.78

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Solution

The third proportional to 13.59 and 28.78 is: 60.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.59 : 28.78 = 28.78 : x
  2. Step 2: Convert to fraction form
    13.59/28.78 = 28.78/x
  3. Step 3: Cross multiply
    13.59x = 28.78 × 28.78
  4. Step 4: Simplify right side
    13.59x = 828.36
  5. Step 5: Solve for x
    x = 828.36/13.59
  6. Step 6: Final answer
    x = 60.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.