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Finding the Third Proportional to 41,039 and 67,006

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Solution

The third proportional to 41,039 and 67,006 is: 109,403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,039 : 67,006 = 67,006 : x
  2. Step 2: Convert to fraction form
    41,039/67,006 = 67,006/x
  3. Step 3: Cross multiply
    41,039x = 67,006 × 67,006
  4. Step 4: Simplify right side
    41,039x = 4,489,804,036
  5. Step 5: Solve for x
    x = 4,489,804,036/41,039
  6. Step 6: Final answer
    x = 109,403.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.