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Finding the Third Proportional to 43,762 and 67,891

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Solution

The third proportional to 43,762 and 67,891 is: 105,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,762 : 67,891 = 67,891 : x
  2. Step 2: Convert to fraction form
    43,762/67,891 = 67,891/x
  3. Step 3: Cross multiply
    43,762x = 67,891 × 67,891
  4. Step 4: Simplify right side
    43,762x = 4,609,187,881
  5. Step 5: Solve for x
    x = 4,609,187,881/43,762
  6. Step 6: Final answer
    x = 105,323.98

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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.