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Finding the Third Proportional to 0.66 and 3.84

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Solution

The third proportional to 0.66 and 3.84 is: 22.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.66 : 3.84 = 3.84 : x
  2. Step 2: Convert to fraction form
    0.66/3.84 = 3.84/x
  3. Step 3: Cross multiply
    0.66x = 3.84 × 3.84
  4. Step 4: Simplify right side
    0.66x = 14.77
  5. Step 5: Solve for x
    x = 14.77/0.66
  6. Step 6: Final answer
    x = 22.51

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Why These Related Problems?

These problems maintain the same ratio (5.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.