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Finding the Third Proportional to 43,584.75 and 67,348.13

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Solution

The third proportional to 43,584.75 and 67,348.13 is: 104,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,584.75 : 67,348.13 = 67,348.13 : x
  2. Step 2: Convert to fraction form
    43,584.75/67,348.13 = 67,348.13/x
  3. Step 3: Cross multiply
    43,584.75x = 67,348.13 × 67,348.13
  4. Step 4: Simplify right side
    43,584.75x = 4,535,769,941.02
  5. Step 5: Solve for x
    x = 4,535,769,941.02/43,584.75
  6. Step 6: Final answer
    x = 104,067.82

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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.