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Finding the Third Proportional to 22,758 and 35,161

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Solution

The third proportional to 22,758 and 35,161 is: 54,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758 : 35,161 = 35,161 : x
  2. Step 2: Convert to fraction form
    22,758/35,161 = 35,161/x
  3. Step 3: Cross multiply
    22,758x = 35,161 × 35,161
  4. Step 4: Simplify right side
    22,758x = 1,236,295,921
  5. Step 5: Solve for x
    x = 1,236,295,921/22,758
  6. Step 6: Final answer
    x = 54,323.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.