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Finding the Third Proportional to 15,999.75 and 37,377

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Solution

The third proportional to 15,999.75 and 37,377 is: 87,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.75 : 37,377 = 37,377 : x
  2. Step 2: Convert to fraction form
    15,999.75/37,377 = 37,377/x
  3. Step 3: Cross multiply
    15,999.75x = 37,377 × 37,377
  4. Step 4: Simplify right side
    15,999.75x = 1,397,040,129
  5. Step 5: Solve for x
    x = 1,397,040,129/15,999.75
  6. Step 6: Final answer
    x = 87,316.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.