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Finding the Third Proportional to 19,683 and 41,589

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Solution

The third proportional to 19,683 and 41,589 is: 87,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683 : 41,589 = 41,589 : x
  2. Step 2: Convert to fraction form
    19,683/41,589 = 41,589/x
  3. Step 3: Cross multiply
    19,683x = 41,589 × 41,589
  4. Step 4: Simplify right side
    19,683x = 1,729,644,921
  5. Step 5: Solve for x
    x = 1,729,644,921/19,683
  6. Step 6: Final answer
    x = 87,875.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.