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Finding the Third Proportional to 9.67 and 23.15

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Solution

The third proportional to 9.67 and 23.15 is: 55.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.67 : 23.15 = 23.15 : x
  2. Step 2: Convert to fraction form
    9.67/23.15 = 23.15/x
  3. Step 3: Cross multiply
    9.67x = 23.15 × 23.15
  4. Step 4: Simplify right side
    9.67x = 535.73
  5. Step 5: Solve for x
    x = 535.73/9.67
  6. Step 6: Final answer
    x = 55.40

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.