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Finding the Third Proportional to 29.11 and 44.65

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Solution

The third proportional to 29.11 and 44.65 is: 68.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.11 : 44.65 = 44.65 : x
  2. Step 2: Convert to fraction form
    29.11/44.65 = 44.65/x
  3. Step 3: Cross multiply
    29.11x = 44.65 × 44.65
  4. Step 4: Simplify right side
    29.11x = 1,993.48
  5. Step 5: Solve for x
    x = 1,993.48/29.11
  6. Step 6: Final answer
    x = 68.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.