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Finding the Third Proportional to 38.13 and 56.69

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Solution

The third proportional to 38.13 and 56.69 is: 84.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.13 : 56.69 = 56.69 : x
  2. Step 2: Convert to fraction form
    38.13/56.69 = 56.69/x
  3. Step 3: Cross multiply
    38.13x = 56.69 × 56.69
  4. Step 4: Simplify right side
    38.13x = 3,213.47
  5. Step 5: Solve for x
    x = 3,213.47/38.13
  6. Step 6: Final answer
    x = 84.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.