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Finding the Third Proportional to 45,837 and 68,322

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Solution

The third proportional to 45,837 and 68,322 is: 101,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,837 : 68,322 = 68,322 : x
  2. Step 2: Convert to fraction form
    45,837/68,322 = 68,322/x
  3. Step 3: Cross multiply
    45,837x = 68,322 × 68,322
  4. Step 4: Simplify right side
    45,837x = 4,667,895,684
  5. Step 5: Solve for x
    x = 4,667,895,684/45,837
  6. Step 6: Final answer
    x = 101,836.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.