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Finding the Third Proportional to 20,822.06 and 44,992.97

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Solution

The third proportional to 20,822.06 and 44,992.97 is: 97,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822.06 : 44,992.97 = 44,992.97 : x
  2. Step 2: Convert to fraction form
    20,822.06/44,992.97 = 44,992.97/x
  3. Step 3: Cross multiply
    20,822.06x = 44,992.97 × 44,992.97
  4. Step 4: Simplify right side
    20,822.06x = 2,024,367,236.94
  5. Step 5: Solve for x
    x = 2,024,367,236.94/20,822.06
  6. Step 6: Final answer
    x = 97,222.22

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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.