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Finding the Third Proportional to 17.72 and 38.53

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Solution

The third proportional to 17.72 and 38.53 is: 83.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.72 : 38.53 = 38.53 : x
  2. Step 2: Convert to fraction form
    17.72/38.53 = 38.53/x
  3. Step 3: Cross multiply
    17.72x = 38.53 × 38.53
  4. Step 4: Simplify right side
    17.72x = 1,484.66
  5. Step 5: Solve for x
    x = 1,484.66/17.72
  6. Step 6: Final answer
    x = 83.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.