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Finding the Third Proportional to 19,864 and 41,361

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Solution

The third proportional to 19,864 and 41,361 is: 86,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,864 : 41,361 = 41,361 : x
  2. Step 2: Convert to fraction form
    19,864/41,361 = 41,361/x
  3. Step 3: Cross multiply
    19,864x = 41,361 × 41,361
  4. Step 4: Simplify right side
    19,864x = 1,710,732,321
  5. Step 5: Solve for x
    x = 1,710,732,321/19,864
  6. Step 6: Final answer
    x = 86,122.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.