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Finding the Third Proportional to 2.56 and 5.23

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Solution

The third proportional to 2.56 and 5.23 is: 10.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.56 : 5.23 = 5.23 : x
  2. Step 2: Convert to fraction form
    2.56/5.23 = 5.23/x
  3. Step 3: Cross multiply
    2.56x = 5.23 × 5.23
  4. Step 4: Simplify right side
    2.56x = 27.40
  5. Step 5: Solve for x
    x = 27.40/2.56
  6. Step 6: Final answer
    x = 10.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.