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Finding the Third Proportional to 21,224.25 and 44,192.81

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Solution

The third proportional to 21,224.25 and 44,192.81 is: 92,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.25 : 44,192.81 = 44,192.81 : x
  2. Step 2: Convert to fraction form
    21,224.25/44,192.81 = 44,192.81/x
  3. Step 3: Cross multiply
    21,224.25x = 44,192.81 × 44,192.81
  4. Step 4: Simplify right side
    21,224.25x = 1,953,004,676.66
  5. Step 5: Solve for x
    x = 1,953,004,676.66/21,224.25
  6. Step 6: Final answer
    x = 92,017.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.