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Finding the Third Proportional to 20,936 and 44,900

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Solution

The third proportional to 20,936 and 44,900 is: 96,293.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,936 : 44,900 = 44,900 : x
  2. Step 2: Convert to fraction form
    20,936/44,900 = 44,900/x
  3. Step 3: Cross multiply
    20,936x = 44,900 × 44,900
  4. Step 4: Simplify right side
    20,936x = 2,016,010,000
  5. Step 5: Solve for x
    x = 2,016,010,000/20,936
  6. Step 6: Final answer
    x = 96,293.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.