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Finding the Third Proportional to 17,601 and 27,481.50

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Solution

The third proportional to 17,601 and 27,481.50 is: 42,908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,601 : 27,481.50 = 27,481.50 : x
  2. Step 2: Convert to fraction form
    17,601/27,481.50 = 27,481.50/x
  3. Step 3: Cross multiply
    17,601x = 27,481.50 × 27,481.50
  4. Step 4: Simplify right side
    17,601x = 755,232,842.25
  5. Step 5: Solve for x
    x = 755,232,842.25/17,601
  6. Step 6: Final answer
    x = 42,908.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.