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Finding the Third Proportional to 20,814 and 45,869

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Solution

The third proportional to 20,814 and 45,869 is: 101,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,814 : 45,869 = 45,869 : x
  2. Step 2: Convert to fraction form
    20,814/45,869 = 45,869/x
  3. Step 3: Cross multiply
    20,814x = 45,869 × 45,869
  4. Step 4: Simplify right side
    20,814x = 2,103,965,161
  5. Step 5: Solve for x
    x = 2,103,965,161/20,814
  6. Step 6: Final answer
    x = 101,084.13

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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.