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Finding the Third Proportional to 43,434 and 67,747

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Solution

The third proportional to 43,434 and 67,747 is: 105,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,434 : 67,747 = 67,747 : x
  2. Step 2: Convert to fraction form
    43,434/67,747 = 67,747/x
  3. Step 3: Cross multiply
    43,434x = 67,747 × 67,747
  4. Step 4: Simplify right side
    43,434x = 4,589,656,009
  5. Step 5: Solve for x
    x = 4,589,656,009/43,434
  6. Step 6: Final answer
    x = 105,669.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.