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Finding the Third Proportional to 5.64 and 12.96

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Solution

The third proportional to 5.64 and 12.96 is: 29.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.64 : 12.96 = 12.96 : x
  2. Step 2: Convert to fraction form
    5.64/12.96 = 12.96/x
  3. Step 3: Cross multiply
    5.64x = 12.96 × 12.96
  4. Step 4: Simplify right side
    5.64x = 168.08
  5. Step 5: Solve for x
    x = 168.08/5.64
  6. Step 6: Final answer
    x = 29.82

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.