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Finding the Third Proportional to 15.96 and 32.17

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Solution

The third proportional to 15.96 and 32.17 is: 64.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.96 : 32.17 = 32.17 : x
  2. Step 2: Convert to fraction form
    15.96/32.17 = 32.17/x
  3. Step 3: Cross multiply
    15.96x = 32.17 × 32.17
  4. Step 4: Simplify right side
    15.96x = 1,034.78
  5. Step 5: Solve for x
    x = 1,034.78/15.96
  6. Step 6: Final answer
    x = 64.83

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.