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Finding the Third Proportional to 29.74 and 44.61

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Solution

The third proportional to 29.74 and 44.61 is: 66.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.74 : 44.61 = 44.61 : x
  2. Step 2: Convert to fraction form
    29.74/44.61 = 44.61/x
  3. Step 3: Cross multiply
    29.74x = 44.61 × 44.61
  4. Step 4: Simplify right side
    29.74x = 1,990.34
  5. Step 5: Solve for x
    x = 1,990.34/29.74
  6. Step 6: Final answer
    x = 66.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.