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Finding the Third Proportional to 0.83 and 1.80

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Solution

The third proportional to 0.83 and 1.80 is: 3.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.83 : 1.80 = 1.80 : x
  2. Step 2: Convert to fraction form
    0.83/1.80 = 1.80/x
  3. Step 3: Cross multiply
    0.83x = 1.80 × 1.80
  4. Step 4: Simplify right side
    0.83x = 3.23
  5. Step 5: Solve for x
    x = 3.23/0.83
  6. Step 6: Final answer
    x = 3.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.