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Finding the Third Proportional to 37,108.38 and 87,511.75

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Solution

The third proportional to 37,108.38 and 87,511.75 is: 206,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,108.38 : 87,511.75 = 87,511.75 : x
  2. Step 2: Convert to fraction form
    37,108.38/87,511.75 = 87,511.75/x
  3. Step 3: Cross multiply
    37,108.38x = 87,511.75 × 87,511.75
  4. Step 4: Simplify right side
    37,108.38x = 7,658,306,388.06
  5. Step 5: Solve for x
    x = 7,658,306,388.06/37,108.38
  6. Step 6: Final answer
    x = 206,376.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.