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Finding the Third Proportional to 16,494 and 18,114

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Solution

The third proportional to 16,494 and 18,114 is: 19,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494 : 18,114 = 18,114 : x
  2. Step 2: Convert to fraction form
    16,494/18,114 = 18,114/x
  3. Step 3: Cross multiply
    16,494x = 18,114 × 18,114
  4. Step 4: Simplify right side
    16,494x = 328,116,996
  5. Step 5: Solve for x
    x = 328,116,996/16,494
  6. Step 6: Final answer
    x = 19,893.11

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.