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Finding the Third Proportional to 13.38 and 29.13

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Solution

The third proportional to 13.38 and 29.13 is: 63.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.38 : 29.13 = 29.13 : x
  2. Step 2: Convert to fraction form
    13.38/29.13 = 29.13/x
  3. Step 3: Cross multiply
    13.38x = 29.13 × 29.13
  4. Step 4: Simplify right side
    13.38x = 848.27
  5. Step 5: Solve for x
    x = 848.27/13.38
  6. Step 6: Final answer
    x = 63.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.