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Finding the Third Proportional to 33,247.13 and 49,904.81

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Solution

The third proportional to 33,247.13 and 49,904.81 is: 74,908.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,247.13 : 49,904.81 = 49,904.81 : x
  2. Step 2: Convert to fraction form
    33,247.13/49,904.81 = 49,904.81/x
  3. Step 3: Cross multiply
    33,247.13x = 49,904.81 × 49,904.81
  4. Step 4: Simplify right side
    33,247.13x = 2,490,490,310.66
  5. Step 5: Solve for x
    x = 2,490,490,310.66/33,247.13
  6. Step 6: Final answer
    x = 74,908.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.