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Finding the Third Proportional to 17,601 and 37,488

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Solution

The third proportional to 17,601 and 37,488 is: 79,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,601 : 37,488 = 37,488 : x
  2. Step 2: Convert to fraction form
    17,601/37,488 = 37,488/x
  3. Step 3: Cross multiply
    17,601x = 37,488 × 37,488
  4. Step 4: Simplify right side
    17,601x = 1,405,350,144
  5. Step 5: Solve for x
    x = 1,405,350,144/17,601
  6. Step 6: Final answer
    x = 79,844.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.