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Finding the Third Proportional to 2.69 and 4.06

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Solution

The third proportional to 2.69 and 4.06 is: 6.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.69 : 4.06 = 4.06 : x
  2. Step 2: Convert to fraction form
    2.69/4.06 = 4.06/x
  3. Step 3: Cross multiply
    2.69x = 4.06 × 4.06
  4. Step 4: Simplify right side
    2.69x = 16.50
  5. Step 5: Solve for x
    x = 16.50/2.69
  6. Step 6: Final answer
    x = 6.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.