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Finding the Third Proportional to 33,924.75 and 49,900.13

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Solution

The third proportional to 33,924.75 and 49,900.13 is: 73,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,924.75 : 49,900.13 = 49,900.13 : x
  2. Step 2: Convert to fraction form
    33,924.75/49,900.13 = 49,900.13/x
  3. Step 3: Cross multiply
    33,924.75x = 49,900.13 × 49,900.13
  4. Step 4: Simplify right side
    33,924.75x = 2,490,022,475.02
  5. Step 5: Solve for x
    x = 2,490,022,475.02/33,924.75
  6. Step 6: Final answer
    x = 73,398.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.