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Finding the Third Proportional to 22.83 and 38.05

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Solution

The third proportional to 22.83 and 38.05 is: 63.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.83 : 38.05 = 38.05 : x
  2. Step 2: Convert to fraction form
    22.83/38.05 = 38.05/x
  3. Step 3: Cross multiply
    22.83x = 38.05 × 38.05
  4. Step 4: Simplify right side
    22.83x = 1,447.66
  5. Step 5: Solve for x
    x = 1,447.66/22.83
  6. Step 6: Final answer
    x = 63.41

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.