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Finding the Third Proportional to 37,517 and 58,167

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Solution

The third proportional to 37,517 and 58,167 is: 90,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,517 : 58,167 = 58,167 : x
  2. Step 2: Convert to fraction form
    37,517/58,167 = 58,167/x
  3. Step 3: Cross multiply
    37,517x = 58,167 × 58,167
  4. Step 4: Simplify right side
    37,517x = 3,383,399,889
  5. Step 5: Solve for x
    x = 3,383,399,889/37,517
  6. Step 6: Final answer
    x = 90,183.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.