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Finding the Third Proportional to 5.95 and 12.67

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Solution

The third proportional to 5.95 and 12.67 is: 26.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.95 : 12.67 = 12.67 : x
  2. Step 2: Convert to fraction form
    5.95/12.67 = 12.67/x
  3. Step 3: Cross multiply
    5.95x = 12.67 × 12.67
  4. Step 4: Simplify right side
    5.95x = 160.58
  5. Step 5: Solve for x
    x = 160.58/5.95
  6. Step 6: Final answer
    x = 26.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.