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Finding the Third Proportional to 18.40 and 42.29

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Solution

The third proportional to 18.40 and 42.29 is: 97.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.40 : 42.29 = 42.29 : x
  2. Step 2: Convert to fraction form
    18.40/42.29 = 42.29/x
  3. Step 3: Cross multiply
    18.40x = 42.29 × 42.29
  4. Step 4: Simplify right side
    18.40x = 1,788.70
  5. Step 5: Solve for x
    x = 1,788.70/18.40
  6. Step 6: Final answer
    x = 97.19

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.