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Finding the Third Proportional to 13.06 and 28.31

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Solution

The third proportional to 13.06 and 28.31 is: 61.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.06 : 28.31 = 28.31 : x
  2. Step 2: Convert to fraction form
    13.06/28.31 = 28.31/x
  3. Step 3: Cross multiply
    13.06x = 28.31 × 28.31
  4. Step 4: Simplify right side
    13.06x = 801.60
  5. Step 5: Solve for x
    x = 801.60/13.06
  6. Step 6: Final answer
    x = 61.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.