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Finding the Third Proportional to 37,961.44 and 90,665.44

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Solution

The third proportional to 37,961.44 and 90,665.44 is: 216,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,961.44 : 90,665.44 = 90,665.44 : x
  2. Step 2: Convert to fraction form
    37,961.44/90,665.44 = 90,665.44/x
  3. Step 3: Cross multiply
    37,961.44x = 90,665.44 × 90,665.44
  4. Step 4: Simplify right side
    37,961.44x = 8,220,221,557.07
  5. Step 5: Solve for x
    x = 8,220,221,557.07/37,961.44
  6. Step 6: Final answer
    x = 216,541.37

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.