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Finding the Third Proportional to 37,638 and 74,324.25

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Solution

The third proportional to 37,638 and 74,324.25 is: 146,769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,638 : 74,324.25 = 74,324.25 : x
  2. Step 2: Convert to fraction form
    37,638/74,324.25 = 74,324.25/x
  3. Step 3: Cross multiply
    37,638x = 74,324.25 × 74,324.25
  4. Step 4: Simplify right side
    37,638x = 5,524,094,138.06
  5. Step 5: Solve for x
    x = 5,524,094,138.06/37,638
  6. Step 6: Final answer
    x = 146,769.07

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.