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Finding the Third Proportional to 29.13 and 44.13

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Solution

The third proportional to 29.13 and 44.13 is: 66.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.13 : 44.13 = 44.13 : x
  2. Step 2: Convert to fraction form
    29.13/44.13 = 44.13/x
  3. Step 3: Cross multiply
    29.13x = 44.13 × 44.13
  4. Step 4: Simplify right side
    29.13x = 1,947.02
  5. Step 5: Solve for x
    x = 1,947.02/29.13
  6. Step 6: Final answer
    x = 66.85

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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.