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Finding the Third Proportional to 1.85 and 3.43

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Solution

The third proportional to 1.85 and 3.43 is: 6.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.85 : 3.43 = 3.43 : x
  2. Step 2: Convert to fraction form
    1.85/3.43 = 3.43/x
  3. Step 3: Cross multiply
    1.85x = 3.43 × 3.43
  4. Step 4: Simplify right side
    1.85x = 11.78
  5. Step 5: Solve for x
    x = 11.78/1.85
  6. Step 6: Final answer
    x = 6.37

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.