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Finding the Third Proportional to 17.34 and 38.02

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Solution

The third proportional to 17.34 and 38.02 is: 83.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.34 : 38.02 = 38.02 : x
  2. Step 2: Convert to fraction form
    17.34/38.02 = 38.02/x
  3. Step 3: Cross multiply
    17.34x = 38.02 × 38.02
  4. Step 4: Simplify right side
    17.34x = 1,445.19
  5. Step 5: Solve for x
    x = 1,445.19/17.34
  6. Step 6: Final answer
    x = 83.33

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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.