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Finding the Third Proportional to 37,660.50 and 49,980.56

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Solution

The third proportional to 37,660.50 and 49,980.56 is: 66,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,660.50 : 49,980.56 = 49,980.56 : x
  2. Step 2: Convert to fraction form
    37,660.50/49,980.56 = 49,980.56/x
  3. Step 3: Cross multiply
    37,660.50x = 49,980.56 × 49,980.56
  4. Step 4: Simplify right side
    37,660.50x = 2,498,056,627.82
  5. Step 5: Solve for x
    x = 2,498,056,627.82/37,660.50
  6. Step 6: Final answer
    x = 66,330.95

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.