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Finding the Third Proportional to 2.57 and 5.26

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Solution

The third proportional to 2.57 and 5.26 is: 10.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.57 : 5.26 = 5.26 : x
  2. Step 2: Convert to fraction form
    2.57/5.26 = 5.26/x
  3. Step 3: Cross multiply
    2.57x = 5.26 × 5.26
  4. Step 4: Simplify right side
    2.57x = 27.67
  5. Step 5: Solve for x
    x = 27.67/2.57
  6. Step 6: Final answer
    x = 10.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.