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Finding the Third Proportional to 8,019 and 18,733

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Solution

The third proportional to 8,019 and 18,733 is: 43,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019 : 18,733 = 18,733 : x
  2. Step 2: Convert to fraction form
    8,019/18,733 = 18,733/x
  3. Step 3: Cross multiply
    8,019x = 18,733 × 18,733
  4. Step 4: Simplify right side
    8,019x = 350,925,289
  5. Step 5: Solve for x
    x = 350,925,289/8,019
  6. Step 6: Final answer
    x = 43,761.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.