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Finding the Third Proportional to 16,125.94 and 37,942.88

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Solution

The third proportional to 16,125.94 and 37,942.88 is: 89,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,125.94 : 37,942.88 = 37,942.88 : x
  2. Step 2: Convert to fraction form
    16,125.94/37,942.88 = 37,942.88/x
  3. Step 3: Cross multiply
    16,125.94x = 37,942.88 × 37,942.88
  4. Step 4: Simplify right side
    16,125.94x = 1,439,661,763.27
  5. Step 5: Solve for x
    x = 1,439,661,763.27/16,125.94
  6. Step 6: Final answer
    x = 89,276.16

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.