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Finding the Third Proportional to 7,622 and 16,009

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Solution

The third proportional to 7,622 and 16,009 is: 33,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622 : 16,009 = 16,009 : x
  2. Step 2: Convert to fraction form
    7,622/16,009 = 16,009/x
  3. Step 3: Cross multiply
    7,622x = 16,009 × 16,009
  4. Step 4: Simplify right side
    7,622x = 256,288,081
  5. Step 5: Solve for x
    x = 256,288,081/7,622
  6. Step 6: Final answer
    x = 33,624.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.