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Finding the Third Proportional to 19,109 and 41,909

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Solution

The third proportional to 19,109 and 41,909 is: 91,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,109 : 41,909 = 41,909 : x
  2. Step 2: Convert to fraction form
    19,109/41,909 = 41,909/x
  3. Step 3: Cross multiply
    19,109x = 41,909 × 41,909
  4. Step 4: Simplify right side
    19,109x = 1,756,364,281
  5. Step 5: Solve for x
    x = 1,756,364,281/19,109
  6. Step 6: Final answer
    x = 91,912.94

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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.