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Finding the Third Proportional to 41,037 and 67,003

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Solution

The third proportional to 41,037 and 67,003 is: 109,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,037 : 67,003 = 67,003 : x
  2. Step 2: Convert to fraction form
    41,037/67,003 = 67,003/x
  3. Step 3: Cross multiply
    41,037x = 67,003 × 67,003
  4. Step 4: Simplify right side
    41,037x = 4,489,402,009
  5. Step 5: Solve for x
    x = 4,489,402,009/41,037
  6. Step 6: Final answer
    x = 109,398.88

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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.