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Finding the Third Proportional to 23,375 and 37,601

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Solution

The third proportional to 23,375 and 37,601 is: 60,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,375 : 37,601 = 37,601 : x
  2. Step 2: Convert to fraction form
    23,375/37,601 = 37,601/x
  3. Step 3: Cross multiply
    23,375x = 37,601 × 37,601
  4. Step 4: Simplify right side
    23,375x = 1,413,835,201
  5. Step 5: Solve for x
    x = 1,413,835,201/23,375
  6. Step 6: Final answer
    x = 60,484.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.