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Finding the Third Proportional to 33,503.63 and 49,025.25

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Solution

The third proportional to 33,503.63 and 49,025.25 is: 71,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,503.63 : 49,025.25 = 49,025.25 : x
  2. Step 2: Convert to fraction form
    33,503.63/49,025.25 = 49,025.25/x
  3. Step 3: Cross multiply
    33,503.63x = 49,025.25 × 49,025.25
  4. Step 4: Simplify right side
    33,503.63x = 2,403,475,137.56
  5. Step 5: Solve for x
    x = 2,403,475,137.56/33,503.63
  6. Step 6: Final answer
    x = 71,737.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.