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Finding the Third Proportional to 35.12 and 38.92

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Solution

The third proportional to 35.12 and 38.92 is: 43.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.12 : 38.92 = 38.92 : x
  2. Step 2: Convert to fraction form
    35.12/38.92 = 38.92/x
  3. Step 3: Cross multiply
    35.12x = 38.92 × 38.92
  4. Step 4: Simplify right side
    35.12x = 1,514.61
  5. Step 5: Solve for x
    x = 1,514.61/35.12
  6. Step 6: Final answer
    x = 43.13

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.