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Finding the Third Proportional to 16,381 and 39,006

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Solution

The third proportional to 16,381 and 39,006 is: 92,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381 : 39,006 = 39,006 : x
  2. Step 2: Convert to fraction form
    16,381/39,006 = 39,006/x
  3. Step 3: Cross multiply
    16,381x = 39,006 × 39,006
  4. Step 4: Simplify right side
    16,381x = 1,521,468,036
  5. Step 5: Solve for x
    x = 1,521,468,036/16,381
  6. Step 6: Final answer
    x = 92,880.05

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.