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Finding the Third Proportional to 43,635 and 67,109

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Solution

The third proportional to 43,635 and 67,109 is: 103,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,635 : 67,109 = 67,109 : x
  2. Step 2: Convert to fraction form
    43,635/67,109 = 67,109/x
  3. Step 3: Cross multiply
    43,635x = 67,109 × 67,109
  4. Step 4: Simplify right side
    43,635x = 4,503,617,881
  5. Step 5: Solve for x
    x = 4,503,617,881/43,635
  6. Step 6: Final answer
    x = 103,211.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.