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Finding the Third Proportional to 43,800.75 and 67,743

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Solution

The third proportional to 43,800.75 and 67,743 is: 104,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,800.75 : 67,743 = 67,743 : x
  2. Step 2: Convert to fraction form
    43,800.75/67,743 = 67,743/x
  3. Step 3: Cross multiply
    43,800.75x = 67,743 × 67,743
  4. Step 4: Simplify right side
    43,800.75x = 4,589,114,049
  5. Step 5: Solve for x
    x = 4,589,114,049/43,800.75
  6. Step 6: Final answer
    x = 104,772.50

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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.