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Finding the Third Proportional to 19,398 and 41,104

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Solution

The third proportional to 19,398 and 41,104 is: 87,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,398 : 41,104 = 41,104 : x
  2. Step 2: Convert to fraction form
    19,398/41,104 = 41,104/x
  3. Step 3: Cross multiply
    19,398x = 41,104 × 41,104
  4. Step 4: Simplify right side
    19,398x = 1,689,538,816
  5. Step 5: Solve for x
    x = 1,689,538,816/19,398
  6. Step 6: Final answer
    x = 87,098.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.