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Finding the Third Proportional to 13.31 and 29.25

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Solution

The third proportional to 13.31 and 29.25 is: 64.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.31 : 29.25 = 29.25 : x
  2. Step 2: Convert to fraction form
    13.31/29.25 = 29.25/x
  3. Step 3: Cross multiply
    13.31x = 29.25 × 29.25
  4. Step 4: Simplify right side
    13.31x = 855.56
  5. Step 5: Solve for x
    x = 855.56/13.31
  6. Step 6: Final answer
    x = 64.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.