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Finding the Third Proportional to 37,558.13 and 87,333.75

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Solution

The third proportional to 37,558.13 and 87,333.75 is: 203,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,558.13 : 87,333.75 = 87,333.75 : x
  2. Step 2: Convert to fraction form
    37,558.13/87,333.75 = 87,333.75/x
  3. Step 3: Cross multiply
    37,558.13x = 87,333.75 × 87,333.75
  4. Step 4: Simplify right side
    37,558.13x = 7,627,183,889.06
  5. Step 5: Solve for x
    x = 7,627,183,889.06/37,558.13
  6. Step 6: Final answer
    x = 203,076.80

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.