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Finding the Third Proportional to 10.18 and 18.14

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Solution

The third proportional to 10.18 and 18.14 is: 32.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.18 : 18.14 = 18.14 : x
  2. Step 2: Convert to fraction form
    10.18/18.14 = 18.14/x
  3. Step 3: Cross multiply
    10.18x = 18.14 × 18.14
  4. Step 4: Simplify right side
    10.18x = 329.08
  5. Step 5: Solve for x
    x = 329.08/10.18
  6. Step 6: Final answer
    x = 32.33

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.