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Finding the Third Proportional to 41,074 and 45,394

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Solution

The third proportional to 41,074 and 45,394 is: 50,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,074 : 45,394 = 45,394 : x
  2. Step 2: Convert to fraction form
    41,074/45,394 = 45,394/x
  3. Step 3: Cross multiply
    41,074x = 45,394 × 45,394
  4. Step 4: Simplify right side
    41,074x = 2,060,615,236
  5. Step 5: Solve for x
    x = 2,060,615,236/41,074
  6. Step 6: Final answer
    x = 50,168.36

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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.