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Finding the Third Proportional to 33,730.88 and 50,322.94

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Solution

The third proportional to 33,730.88 and 50,322.94 is: 75,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,730.88 : 50,322.94 = 50,322.94 : x
  2. Step 2: Convert to fraction form
    33,730.88/50,322.94 = 50,322.94/x
  3. Step 3: Cross multiply
    33,730.88x = 50,322.94 × 50,322.94
  4. Step 4: Simplify right side
    33,730.88x = 2,532,398,038.63
  5. Step 5: Solve for x
    x = 2,532,398,038.63/33,730.88
  6. Step 6: Final answer
    x = 75,076.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.