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Finding the Third Proportional to 29.66 and 38.56

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Solution

The third proportional to 29.66 and 38.56 is: 50.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.66 : 38.56 = 38.56 : x
  2. Step 2: Convert to fraction form
    29.66/38.56 = 38.56/x
  3. Step 3: Cross multiply
    29.66x = 38.56 × 38.56
  4. Step 4: Simplify right side
    29.66x = 1,486.53
  5. Step 5: Solve for x
    x = 1,486.53/29.66
  6. Step 6: Final answer
    x = 50.12

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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.