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Finding the Third Proportional to 7.95 and 17.56

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Solution

The third proportional to 7.95 and 17.56 is: 38.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.95 : 17.56 = 17.56 : x
  2. Step 2: Convert to fraction form
    7.95/17.56 = 17.56/x
  3. Step 3: Cross multiply
    7.95x = 17.56 × 17.56
  4. Step 4: Simplify right side
    7.95x = 308.37
  5. Step 5: Solve for x
    x = 308.37/7.95
  6. Step 6: Final answer
    x = 38.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.