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Finding the Third Proportional to 34,686 and 81,837

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Solution

The third proportional to 34,686 and 81,837 is: 193,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,686 : 81,837 = 81,837 : x
  2. Step 2: Convert to fraction form
    34,686/81,837 = 81,837/x
  3. Step 3: Cross multiply
    34,686x = 81,837 × 81,837
  4. Step 4: Simplify right side
    34,686x = 6,697,294,569
  5. Step 5: Solve for x
    x = 6,697,294,569/34,686
  6. Step 6: Final answer
    x = 193,083.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.