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Finding the Third Proportional to 19,855 and 42,589

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Solution

The third proportional to 19,855 and 42,589 is: 91,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,855 : 42,589 = 42,589 : x
  2. Step 2: Convert to fraction form
    19,855/42,589 = 42,589/x
  3. Step 3: Cross multiply
    19,855x = 42,589 × 42,589
  4. Step 4: Simplify right side
    19,855x = 1,813,822,921
  5. Step 5: Solve for x
    x = 1,813,822,921/19,855
  6. Step 6: Final answer
    x = 91,353.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.