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Finding the Third Proportional to 33,106.50 and 49,963.50

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Solution

The third proportional to 33,106.50 and 49,963.50 is: 75,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106.50 : 49,963.50 = 49,963.50 : x
  2. Step 2: Convert to fraction form
    33,106.50/49,963.50 = 49,963.50/x
  3. Step 3: Cross multiply
    33,106.50x = 49,963.50 × 49,963.50
  4. Step 4: Simplify right side
    33,106.50x = 2,496,351,332.25
  5. Step 5: Solve for x
    x = 2,496,351,332.25/33,106.50
  6. Step 6: Final answer
    x = 75,403.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.