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Finding the Third Proportional to 0.85 and 2.33

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Solution

The third proportional to 0.85 and 2.33 is: 6.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.85 : 2.33 = 2.33 : x
  2. Step 2: Convert to fraction form
    0.85/2.33 = 2.33/x
  3. Step 3: Cross multiply
    0.85x = 2.33 × 2.33
  4. Step 4: Simplify right side
    0.85x = 5.41
  5. Step 5: Solve for x
    x = 5.41/0.85
  6. Step 6: Final answer
    x = 6.39

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.