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Finding the Third Proportional to 2.56 and 3.84

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Solution

The third proportional to 2.56 and 3.84 is: 5.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.56 : 3.84 = 3.84 : x
  2. Step 2: Convert to fraction form
    2.56/3.84 = 3.84/x
  3. Step 3: Cross multiply
    2.56x = 3.84 × 3.84
  4. Step 4: Simplify right side
    2.56x = 14.77
  5. Step 5: Solve for x
    x = 14.77/2.56
  6. Step 6: Final answer
    x = 5.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.