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Finding the Third Proportional to 16,982.16 and 37,049.91

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Solution

The third proportional to 16,982.16 and 37,049.91 is: 80,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,982.16 : 37,049.91 = 37,049.91 : x
  2. Step 2: Convert to fraction form
    16,982.16/37,049.91 = 37,049.91/x
  3. Step 3: Cross multiply
    16,982.16x = 37,049.91 × 37,049.91
  4. Step 4: Simplify right side
    16,982.16x = 1,372,695,553.13
  5. Step 5: Solve for x
    x = 1,372,695,553.13/16,982.16
  6. Step 6: Final answer
    x = 80,831.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.