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Finding the Third Proportional to 1.59 and 3.84

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Solution

The third proportional to 1.59 and 3.84 is: 9.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.59 : 3.84 = 3.84 : x
  2. Step 2: Convert to fraction form
    1.59/3.84 = 3.84/x
  3. Step 3: Cross multiply
    1.59x = 3.84 × 3.84
  4. Step 4: Simplify right side
    1.59x = 14.77
  5. Step 5: Solve for x
    x = 14.77/1.59
  6. Step 6: Final answer
    x = 9.27

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.