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Finding the Third Proportional to 10.03 and 18.42

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Solution

The third proportional to 10.03 and 18.42 is: 33.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.03 : 18.42 = 18.42 : x
  2. Step 2: Convert to fraction form
    10.03/18.42 = 18.42/x
  3. Step 3: Cross multiply
    10.03x = 18.42 × 18.42
  4. Step 4: Simplify right side
    10.03x = 339.37
  5. Step 5: Solve for x
    x = 339.37/10.03
  6. Step 6: Final answer
    x = 33.83

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.