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Finding the Third Proportional to 44.34 and 67.41

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Solution

The third proportional to 44.34 and 67.41 is: 102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.34 : 67.41 = 67.41 : x
  2. Step 2: Convert to fraction form
    44.34/67.41 = 67.41/x
  3. Step 3: Cross multiply
    44.34x = 67.41 × 67.41
  4. Step 4: Simplify right side
    44.34x = 4,543.60
  5. Step 5: Solve for x
    x = 4,543.60/44.34
  6. Step 6: Final answer
    x = 102.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.