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Finding the Third Proportional to 19,340 and 41,209

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Solution

The third proportional to 19,340 and 41,209 is: 87,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,340 : 41,209 = 41,209 : x
  2. Step 2: Convert to fraction form
    19,340/41,209 = 41,209/x
  3. Step 3: Cross multiply
    19,340x = 41,209 × 41,209
  4. Step 4: Simplify right side
    19,340x = 1,698,181,681
  5. Step 5: Solve for x
    x = 1,698,181,681/19,340
  6. Step 6: Final answer
    x = 87,806.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.