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Finding the Third Proportional to 22,325 and 34,568

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Solution

The third proportional to 22,325 and 34,568 is: 53,525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,325 : 34,568 = 34,568 : x
  2. Step 2: Convert to fraction form
    22,325/34,568 = 34,568/x
  3. Step 3: Cross multiply
    22,325x = 34,568 × 34,568
  4. Step 4: Simplify right side
    22,325x = 1,194,946,624
  5. Step 5: Solve for x
    x = 1,194,946,624/22,325
  6. Step 6: Final answer
    x = 53,525.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.