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Finding the Third Proportional to 41,869 and 91,010

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Solution

The third proportional to 41,869 and 91,010 is: 197,827.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,869 : 91,010 = 91,010 : x
  2. Step 2: Convert to fraction form
    41,869/91,010 = 91,010/x
  3. Step 3: Cross multiply
    41,869x = 91,010 × 91,010
  4. Step 4: Simplify right side
    41,869x = 8,282,820,100
  5. Step 5: Solve for x
    x = 8,282,820,100/41,869
  6. Step 6: Final answer
    x = 197,827.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.