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Finding the Third Proportional to 1.78 and 3.84

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Solution

The third proportional to 1.78 and 3.84 is: 8.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.78 : 3.84 = 3.84 : x
  2. Step 2: Convert to fraction form
    1.78/3.84 = 3.84/x
  3. Step 3: Cross multiply
    1.78x = 3.84 × 3.84
  4. Step 4: Simplify right side
    1.78x = 14.77
  5. Step 5: Solve for x
    x = 14.77/1.78
  6. Step 6: Final answer
    x = 8.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.