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Finding the Third Proportional to 2.29 and 2.56

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Solution

The third proportional to 2.29 and 2.56 is: 2.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.29 : 2.56 = 2.56 : x
  2. Step 2: Convert to fraction form
    2.29/2.56 = 2.56/x
  3. Step 3: Cross multiply
    2.29x = 2.56 × 2.56
  4. Step 4: Simplify right side
    2.29x = 6.53
  5. Step 5: Solve for x
    x = 6.53/2.29
  6. Step 6: Final answer
    x = 2.86

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.