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Finding the Third Proportional to 17,841.75 and 25,659

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Solution

The third proportional to 17,841.75 and 25,659 is: 36,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,841.75 : 25,659 = 25,659 : x
  2. Step 2: Convert to fraction form
    17,841.75/25,659 = 25,659/x
  3. Step 3: Cross multiply
    17,841.75x = 25,659 × 25,659
  4. Step 4: Simplify right side
    17,841.75x = 658,384,281
  5. Step 5: Solve for x
    x = 658,384,281/17,841.75
  6. Step 6: Final answer
    x = 36,901.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.