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Finding the Third Proportional to 2.69 and 4.87

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Solution

The third proportional to 2.69 and 4.87 is: 8.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.69 : 4.87 = 4.87 : x
  2. Step 2: Convert to fraction form
    2.69/4.87 = 4.87/x
  3. Step 3: Cross multiply
    2.69x = 4.87 × 4.87
  4. Step 4: Simplify right side
    2.69x = 23.70
  5. Step 5: Solve for x
    x = 23.70/2.69
  6. Step 6: Final answer
    x = 8.82

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.