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Finding the Third Proportional to 50,908.50 and 74,838.09

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Solution

The third proportional to 50,908.50 and 74,838.09 is: 110,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,908.50 : 74,838.09 = 74,838.09 : x
  2. Step 2: Convert to fraction form
    50,908.50/74,838.09 = 74,838.09/x
  3. Step 3: Cross multiply
    50,908.50x = 74,838.09 × 74,838.09
  4. Step 4: Simplify right side
    50,908.50x = 5,600,740,276.13
  5. Step 5: Solve for x
    x = 5,600,740,276.13/50,908.50
  6. Step 6: Final answer
    x = 110,015.82

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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.