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Finding the Third Proportional to 33,544.13 and 49,870.69

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Solution

The third proportional to 33,544.13 and 49,870.69 is: 74,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,544.13 : 49,870.69 = 49,870.69 : x
  2. Step 2: Convert to fraction form
    33,544.13/49,870.69 = 49,870.69/x
  3. Step 3: Cross multiply
    33,544.13x = 49,870.69 × 49,870.69
  4. Step 4: Simplify right side
    33,544.13x = 2,487,085,471.72
  5. Step 5: Solve for x
    x = 2,487,085,471.72/33,544.13
  6. Step 6: Final answer
    x = 74,143.70

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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.