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Finding the Third Proportional to 36,350 and 49,101

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Solution

The third proportional to 36,350 and 49,101 is: 66,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,350 : 49,101 = 49,101 : x
  2. Step 2: Convert to fraction form
    36,350/49,101 = 49,101/x
  3. Step 3: Cross multiply
    36,350x = 49,101 × 49,101
  4. Step 4: Simplify right side
    36,350x = 2,410,908,201
  5. Step 5: Solve for x
    x = 2,410,908,201/36,350
  6. Step 6: Final answer
    x = 66,324.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.