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Finding the Third Proportional to 8,006 and 16,454

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Solution

The third proportional to 8,006 and 16,454 is: 33,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006 : 16,454 = 16,454 : x
  2. Step 2: Convert to fraction form
    8,006/16,454 = 16,454/x
  3. Step 3: Cross multiply
    8,006x = 16,454 × 16,454
  4. Step 4: Simplify right side
    8,006x = 270,734,116
  5. Step 5: Solve for x
    x = 270,734,116/8,006
  6. Step 6: Final answer
    x = 33,816.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.