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Finding the Third Proportional to 33,411.38 and 49,953.38

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Solution

The third proportional to 33,411.38 and 49,953.38 is: 74,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,411.38 : 49,953.38 = 49,953.38 : x
  2. Step 2: Convert to fraction form
    33,411.38/49,953.38 = 49,953.38/x
  3. Step 3: Cross multiply
    33,411.38x = 49,953.38 × 49,953.38
  4. Step 4: Simplify right side
    33,411.38x = 2,495,339,673.89
  5. Step 5: Solve for x
    x = 2,495,339,673.89/33,411.38
  6. Step 6: Final answer
    x = 74,685.33

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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.