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Finding the Third Proportional to 16,218 and 22,671

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Solution

The third proportional to 16,218 and 22,671 is: 31,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218 : 22,671 = 22,671 : x
  2. Step 2: Convert to fraction form
    16,218/22,671 = 22,671/x
  3. Step 3: Cross multiply
    16,218x = 22,671 × 22,671
  4. Step 4: Simplify right side
    16,218x = 513,974,241
  5. Step 5: Solve for x
    x = 513,974,241/16,218
  6. Step 6: Final answer
    x = 31,691.59

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.