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Finding the Third Proportional to 20,843 and 45,011

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Solution

The third proportional to 20,843 and 45,011 is: 97,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843 : 45,011 = 45,011 : x
  2. Step 2: Convert to fraction form
    20,843/45,011 = 45,011/x
  3. Step 3: Cross multiply
    20,843x = 45,011 × 45,011
  4. Step 4: Simplify right side
    20,843x = 2,025,990,121
  5. Step 5: Solve for x
    x = 2,025,990,121/20,843
  6. Step 6: Final answer
    x = 97,202.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.