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Finding the Third Proportional to 22,990 and 35,147

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Solution

The third proportional to 22,990 and 35,147 is: 53,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,990 : 35,147 = 35,147 : x
  2. Step 2: Convert to fraction form
    22,990/35,147 = 35,147/x
  3. Step 3: Cross multiply
    22,990x = 35,147 × 35,147
  4. Step 4: Simplify right side
    22,990x = 1,235,311,609
  5. Step 5: Solve for x
    x = 1,235,311,609/22,990
  6. Step 6: Final answer
    x = 53,732.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.