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Finding the Third Proportional to 22,161 and 31,998

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Solution

The third proportional to 22,161 and 31,998 is: 46,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,161 : 31,998 = 31,998 : x
  2. Step 2: Convert to fraction form
    22,161/31,998 = 31,998/x
  3. Step 3: Cross multiply
    22,161x = 31,998 × 31,998
  4. Step 4: Simplify right side
    22,161x = 1,023,872,004
  5. Step 5: Solve for x
    x = 1,023,872,004/22,161
  6. Step 6: Final answer
    x = 46,201.53

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.