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Finding the Third Proportional to 43,348 and 67,398

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Solution

The third proportional to 43,348 and 67,398 is: 104,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,348 : 67,398 = 67,398 : x
  2. Step 2: Convert to fraction form
    43,348/67,398 = 67,398/x
  3. Step 3: Cross multiply
    43,348x = 67,398 × 67,398
  4. Step 4: Simplify right side
    43,348x = 4,542,490,404
  5. Step 5: Solve for x
    x = 4,542,490,404/43,348
  6. Step 6: Final answer
    x = 104,791.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.