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Finding the Third Proportional to 20,744 and 28,044

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Solution

The third proportional to 20,744 and 28,044 is: 37,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,744 : 28,044 = 28,044 : x
  2. Step 2: Convert to fraction form
    20,744/28,044 = 28,044/x
  3. Step 3: Cross multiply
    20,744x = 28,044 × 28,044
  4. Step 4: Simplify right side
    20,744x = 786,465,936
  5. Step 5: Solve for x
    x = 786,465,936/20,744
  6. Step 6: Final answer
    x = 37,912.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.