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Finding the Third Proportional to 18,022 and 28,790

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Solution

The third proportional to 18,022 and 28,790 is: 45,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,022 : 28,790 = 28,790 : x
  2. Step 2: Convert to fraction form
    18,022/28,790 = 28,790/x
  3. Step 3: Cross multiply
    18,022x = 28,790 × 28,790
  4. Step 4: Simplify right side
    18,022x = 828,864,100
  5. Step 5: Solve for x
    x = 828,864,100/18,022
  6. Step 6: Final answer
    x = 45,991.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.