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Finding the Third Proportional to 16,922 and 39,002

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Solution

The third proportional to 16,922 and 39,002 is: 89,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,922 : 39,002 = 39,002 : x
  2. Step 2: Convert to fraction form
    16,922/39,002 = 39,002/x
  3. Step 3: Cross multiply
    16,922x = 39,002 × 39,002
  4. Step 4: Simplify right side
    16,922x = 1,521,156,004
  5. Step 5: Solve for x
    x = 1,521,156,004/16,922
  6. Step 6: Final answer
    x = 89,892.21

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.