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Finding the Third Proportional to 15.82 and 34.33

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Solution

The third proportional to 15.82 and 34.33 is: 74.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.82 : 34.33 = 34.33 : x
  2. Step 2: Convert to fraction form
    15.82/34.33 = 34.33/x
  3. Step 3: Cross multiply
    15.82x = 34.33 × 34.33
  4. Step 4: Simplify right side
    15.82x = 1,178.55
  5. Step 5: Solve for x
    x = 1,178.55/15.82
  6. Step 6: Final answer
    x = 74.50

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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.