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Finding the Third Proportional to 33,206 and 49,340

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Solution

The third proportional to 33,206 and 49,340 is: 73,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,206 : 49,340 = 49,340 : x
  2. Step 2: Convert to fraction form
    33,206/49,340 = 49,340/x
  3. Step 3: Cross multiply
    33,206x = 49,340 × 49,340
  4. Step 4: Simplify right side
    33,206x = 2,434,435,600
  5. Step 5: Solve for x
    x = 2,434,435,600/33,206
  6. Step 6: Final answer
    x = 73,313.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.