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Finding the Third Proportional to 16,589 and 36,411

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Solution

The third proportional to 16,589 and 36,411 is: 79,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589 : 36,411 = 36,411 : x
  2. Step 2: Convert to fraction form
    16,589/36,411 = 36,411/x
  3. Step 3: Cross multiply
    16,589x = 36,411 × 36,411
  4. Step 4: Simplify right side
    16,589x = 1,325,760,921
  5. Step 5: Solve for x
    x = 1,325,760,921/16,589
  6. Step 6: Final answer
    x = 79,918.07

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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.