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Finding the Third Proportional to 25,022 and 35,193

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Solution

The third proportional to 25,022 and 35,193 is: 49,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,022 : 35,193 = 35,193 : x
  2. Step 2: Convert to fraction form
    25,022/35,193 = 35,193/x
  3. Step 3: Cross multiply
    25,022x = 35,193 × 35,193
  4. Step 4: Simplify right side
    25,022x = 1,238,547,249
  5. Step 5: Solve for x
    x = 1,238,547,249/25,022
  6. Step 6: Final answer
    x = 49,498.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.