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Finding the Third Proportional to 7.59 and 15.82

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Solution

The third proportional to 7.59 and 15.82 is: 32.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.59 : 15.82 = 15.82 : x
  2. Step 2: Convert to fraction form
    7.59/15.82 = 15.82/x
  3. Step 3: Cross multiply
    7.59x = 15.82 × 15.82
  4. Step 4: Simplify right side
    7.59x = 250.28
  5. Step 5: Solve for x
    x = 250.28/7.59
  6. Step 6: Final answer
    x = 32.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.