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Finding the Third Proportional to 16,033.94 and 37,116.75

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Solution

The third proportional to 16,033.94 and 37,116.75 is: 85,921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,033.94 : 37,116.75 = 37,116.75 : x
  2. Step 2: Convert to fraction form
    16,033.94/37,116.75 = 37,116.75/x
  3. Step 3: Cross multiply
    16,033.94x = 37,116.75 × 37,116.75
  4. Step 4: Simplify right side
    16,033.94x = 1,377,653,130.56
  5. Step 5: Solve for x
    x = 1,377,653,130.56/16,033.94
  6. Step 6: Final answer
    x = 85,921.07

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.