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Finding the Third Proportional to 8,009 and 18,619

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Solution

The third proportional to 8,009 and 18,619 is: 43,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009 : 18,619 = 18,619 : x
  2. Step 2: Convert to fraction form
    8,009/18,619 = 18,619/x
  3. Step 3: Cross multiply
    8,009x = 18,619 × 18,619
  4. Step 4: Simplify right side
    8,009x = 346,667,161
  5. Step 5: Solve for x
    x = 346,667,161/8,009
  6. Step 6: Final answer
    x = 43,284.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.