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Finding the Third Proportional to 20,837 and 45,814

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Solution

The third proportional to 20,837 and 45,814 is: 100,730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,837 : 45,814 = 45,814 : x
  2. Step 2: Convert to fraction form
    20,837/45,814 = 45,814/x
  3. Step 3: Cross multiply
    20,837x = 45,814 × 45,814
  4. Step 4: Simplify right side
    20,837x = 2,098,922,596
  5. Step 5: Solve for x
    x = 2,098,922,596/20,837
  6. Step 6: Final answer
    x = 100,730.56

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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.