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Finding the Third Proportional to 28,165 and 61,837

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Solution

The third proportional to 28,165 and 61,837 is: 135,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,165 : 61,837 = 61,837 : x
  2. Step 2: Convert to fraction form
    28,165/61,837 = 61,837/x
  3. Step 3: Cross multiply
    28,165x = 61,837 × 61,837
  4. Step 4: Simplify right side
    28,165x = 3,823,814,569
  5. Step 5: Solve for x
    x = 3,823,814,569/28,165
  6. Step 6: Final answer
    x = 135,764.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.