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Finding the Third Proportional to 2.56 and 3.66

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Solution

The third proportional to 2.56 and 3.66 is: 5.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.56 : 3.66 = 3.66 : x
  2. Step 2: Convert to fraction form
    2.56/3.66 = 3.66/x
  3. Step 3: Cross multiply
    2.56x = 3.66 × 3.66
  4. Step 4: Simplify right side
    2.56x = 13.37
  5. Step 5: Solve for x
    x = 13.37/2.56
  6. Step 6: Final answer
    x = 5.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.