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Finding the Third Proportional to 20,057 and 43,223

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Solution

The third proportional to 20,057 and 43,223 is: 93,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057 : 43,223 = 43,223 : x
  2. Step 2: Convert to fraction form
    20,057/43,223 = 43,223/x
  3. Step 3: Cross multiply
    20,057x = 43,223 × 43,223
  4. Step 4: Simplify right side
    20,057x = 1,868,227,729
  5. Step 5: Solve for x
    x = 1,868,227,729/20,057
  6. Step 6: Final answer
    x = 93,145.92

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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.