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Finding the Third Proportional to 33,227.88 and 49,726.49

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Solution

The third proportional to 33,227.88 and 49,726.49 is: 74,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,227.88 : 49,726.49 = 49,726.49 : x
  2. Step 2: Convert to fraction form
    33,227.88/49,726.49 = 49,726.49/x
  3. Step 3: Cross multiply
    33,227.88x = 49,726.49 × 49,726.49
  4. Step 4: Simplify right side
    33,227.88x = 2,472,723,345.42
  5. Step 5: Solve for x
    x = 2,472,723,345.42/33,227.88
  6. Step 6: Final answer
    x = 74,417.13

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