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Finding the Third Proportional to 28,086 and 65,019

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Solution

The third proportional to 28,086 and 65,019 is: 150,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,086 : 65,019 = 65,019 : x
  2. Step 2: Convert to fraction form
    28,086/65,019 = 65,019/x
  3. Step 3: Cross multiply
    28,086x = 65,019 × 65,019
  4. Step 4: Simplify right side
    28,086x = 4,227,470,361
  5. Step 5: Solve for x
    x = 4,227,470,361/28,086
  6. Step 6: Final answer
    x = 150,518.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.