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Finding the Third Proportional to 0.23 and 2.56

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Solution

The third proportional to 0.23 and 2.56 is: 28.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.23 : 2.56 = 2.56 : x
  2. Step 2: Convert to fraction form
    0.23/2.56 = 2.56/x
  3. Step 3: Cross multiply
    0.23x = 2.56 × 2.56
  4. Step 4: Simplify right side
    0.23x = 6.57
  5. Step 5: Solve for x
    x = 6.57/0.23
  6. Step 6: Final answer
    x = 28.02

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Why These Related Problems?

These problems maintain the same ratio (10.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.