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Finding the Third Proportional to 37,630.97 and 51,601.78

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Solution

The third proportional to 37,630.97 and 51,601.78 is: 70,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,630.97 : 51,601.78 = 51,601.78 : x
  2. Step 2: Convert to fraction form
    37,630.97/51,601.78 = 51,601.78/x
  3. Step 3: Cross multiply
    37,630.97x = 51,601.78 × 51,601.78
  4. Step 4: Simplify right side
    37,630.97x = 2,662,743,828.17
  5. Step 5: Solve for x
    x = 2,662,743,828.17/37,630.97
  6. Step 6: Final answer
    x = 70,759.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.