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Finding the Third Proportional to 22,156 and 31,990

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Solution

The third proportional to 22,156 and 31,990 is: 46,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156 : 31,990 = 31,990 : x
  2. Step 2: Convert to fraction form
    22,156/31,990 = 31,990/x
  3. Step 3: Cross multiply
    22,156x = 31,990 × 31,990
  4. Step 4: Simplify right side
    22,156x = 1,023,360,100
  5. Step 5: Solve for x
    x = 1,023,360,100/22,156
  6. Step 6: Final answer
    x = 46,188.85

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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.