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Finding the Third Proportional to 21,031 and 44,009

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Solution

The third proportional to 21,031 and 44,009 is: 92,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031 : 44,009 = 44,009 : x
  2. Step 2: Convert to fraction form
    21,031/44,009 = 44,009/x
  3. Step 3: Cross multiply
    21,031x = 44,009 × 44,009
  4. Step 4: Simplify right side
    21,031x = 1,936,792,081
  5. Step 5: Solve for x
    x = 1,936,792,081/21,031
  6. Step 6: Final answer
    x = 92,092.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.