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Finding the Third Proportional to 17,937 and 25,622

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Solution

The third proportional to 17,937 and 25,622 is: 36,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,937 : 25,622 = 25,622 : x
  2. Step 2: Convert to fraction form
    17,937/25,622 = 25,622/x
  3. Step 3: Cross multiply
    17,937x = 25,622 × 25,622
  4. Step 4: Simplify right side
    17,937x = 656,486,884
  5. Step 5: Solve for x
    x = 656,486,884/17,937
  6. Step 6: Final answer
    x = 36,599.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.