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Finding the Third Proportional to 18,791 and 41,102

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Solution

The third proportional to 18,791 and 41,102 is: 89,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,791 : 41,102 = 41,102 : x
  2. Step 2: Convert to fraction form
    18,791/41,102 = 41,102/x
  3. Step 3: Cross multiply
    18,791x = 41,102 × 41,102
  4. Step 4: Simplify right side
    18,791x = 1,689,374,404
  5. Step 5: Solve for x
    x = 1,689,374,404/18,791
  6. Step 6: Final answer
    x = 89,903.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.