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Finding the Third Proportional to 18.98 and 40.34

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Solution

The third proportional to 18.98 and 40.34 is: 85.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.98 : 40.34 = 40.34 : x
  2. Step 2: Convert to fraction form
    18.98/40.34 = 40.34/x
  3. Step 3: Cross multiply
    18.98x = 40.34 × 40.34
  4. Step 4: Simplify right side
    18.98x = 1,627.46
  5. Step 5: Solve for x
    x = 1,627.46/18.98
  6. Step 6: Final answer
    x = 85.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.