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Finding the Third Proportional to 15.97 and 34.02

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Solution

The third proportional to 15.97 and 34.02 is: 72.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.97 : 34.02 = 34.02 : x
  2. Step 2: Convert to fraction form
    15.97/34.02 = 34.02/x
  3. Step 3: Cross multiply
    15.97x = 34.02 × 34.02
  4. Step 4: Simplify right side
    15.97x = 1,157.50
  5. Step 5: Solve for x
    x = 1,157.50/15.97
  6. Step 6: Final answer
    x = 72.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.