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Finding the Third Proportional to 23.15 and 47.56

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Solution

The third proportional to 23.15 and 47.56 is: 97.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.15 : 47.56 = 47.56 : x
  2. Step 2: Convert to fraction form
    23.15/47.56 = 47.56/x
  3. Step 3: Cross multiply
    23.15x = 47.56 × 47.56
  4. Step 4: Simplify right side
    23.15x = 2,261.97
  5. Step 5: Solve for x
    x = 2,261.97/23.15
  6. Step 6: Final answer
    x = 97.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.