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Finding the Third Proportional to 16,400 and 22,006

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Solution

The third proportional to 16,400 and 22,006 is: 29,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400 : 22,006 = 22,006 : x
  2. Step 2: Convert to fraction form
    16,400/22,006 = 22,006/x
  3. Step 3: Cross multiply
    16,400x = 22,006 × 22,006
  4. Step 4: Simplify right side
    16,400x = 484,264,036
  5. Step 5: Solve for x
    x = 484,264,036/16,400
  6. Step 6: Final answer
    x = 29,528.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.