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Finding the Third Proportional to 3.84 and 5.64

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Solution

The third proportional to 3.84 and 5.64 is: 8.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.84 : 5.64 = 5.64 : x
  2. Step 2: Convert to fraction form
    3.84/5.64 = 5.64/x
  3. Step 3: Cross multiply
    3.84x = 5.64 × 5.64
  4. Step 4: Simplify right side
    3.84x = 31.84
  5. Step 5: Solve for x
    x = 31.84/3.84
  6. Step 6: Final answer
    x = 8.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.