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Finding the Third Proportional to 17.33 and 37.90

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Solution

The third proportional to 17.33 and 37.90 is: 82.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.33 : 37.90 = 37.90 : x
  2. Step 2: Convert to fraction form
    17.33/37.90 = 37.90/x
  3. Step 3: Cross multiply
    17.33x = 37.90 × 37.90
  4. Step 4: Simplify right side
    17.33x = 1,436.29
  5. Step 5: Solve for x
    x = 1,436.29/17.33
  6. Step 6: Final answer
    x = 82.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.