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Finding the Third Proportional to 40.92 and 43.52

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Solution

The third proportional to 40.92 and 43.52 is: 46.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.92 : 43.52 = 43.52 : x
  2. Step 2: Convert to fraction form
    40.92/43.52 = 43.52/x
  3. Step 3: Cross multiply
    40.92x = 43.52 × 43.52
  4. Step 4: Simplify right side
    40.92x = 1,894.29
  5. Step 5: Solve for x
    x = 1,894.29/40.92
  6. Step 6: Final answer
    x = 46.29

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.