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Finding the Third Proportional to 29.81 and 38.81

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Solution

The third proportional to 29.81 and 38.81 is: 50.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.81 : 38.81 = 38.81 : x
  2. Step 2: Convert to fraction form
    29.81/38.81 = 38.81/x
  3. Step 3: Cross multiply
    29.81x = 38.81 × 38.81
  4. Step 4: Simplify right side
    29.81x = 1,506.41
  5. Step 5: Solve for x
    x = 1,506.41/29.81
  6. Step 6: Final answer
    x = 50.53

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.