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Finding the Third Proportional to 25,149.94 and 37,727.91

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Solution

The third proportional to 25,149.94 and 37,727.91 is: 56,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,149.94 : 37,727.91 = 37,727.91 : x
  2. Step 2: Convert to fraction form
    25,149.94/37,727.91 = 37,727.91/x
  3. Step 3: Cross multiply
    25,149.94x = 37,727.91 × 37,727.91
  4. Step 4: Simplify right side
    25,149.94x = 1,423,394,910.01
  5. Step 5: Solve for x
    x = 1,423,394,910.01/25,149.94
  6. Step 6: Final answer
    x = 56,596.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.