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Finding the Third Proportional to 15.97 and 29.03

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Solution

The third proportional to 15.97 and 29.03 is: 52.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.97 : 29.03 = 29.03 : x
  2. Step 2: Convert to fraction form
    15.97/29.03 = 29.03/x
  3. Step 3: Cross multiply
    15.97x = 29.03 × 29.03
  4. Step 4: Simplify right side
    15.97x = 842.84
  5. Step 5: Solve for x
    x = 842.84/15.97
  6. Step 6: Final answer
    x = 52.79

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.