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Finding the Third Proportional to 13.41 and 29.34

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Solution

The third proportional to 13.41 and 29.34 is: 64.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.41 : 29.34 = 29.34 : x
  2. Step 2: Convert to fraction form
    13.41/29.34 = 29.34/x
  3. Step 3: Cross multiply
    13.41x = 29.34 × 29.34
  4. Step 4: Simplify right side
    13.41x = 861.06
  5. Step 5: Solve for x
    x = 861.06/13.41
  6. Step 6: Final answer
    x = 64.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.