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Finding the Third Proportional to 29.81 and 44.95

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Solution

The third proportional to 29.81 and 44.95 is: 67.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.81 : 44.95 = 44.95 : x
  2. Step 2: Convert to fraction form
    29.81/44.95 = 44.95/x
  3. Step 3: Cross multiply
    29.81x = 44.95 × 44.95
  4. Step 4: Simplify right side
    29.81x = 2,020.78
  5. Step 5: Solve for x
    x = 2,020.78/29.81
  6. Step 6: Final answer
    x = 67.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.