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Finding the Third Proportional to 16,974.56 and 36,617.91

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Solution

The third proportional to 16,974.56 and 36,617.91 is: 78,992.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974.56 : 36,617.91 = 36,617.91 : x
  2. Step 2: Convert to fraction form
    16,974.56/36,617.91 = 36,617.91/x
  3. Step 3: Cross multiply
    16,974.56x = 36,617.91 × 36,617.91
  4. Step 4: Simplify right side
    16,974.56x = 1,340,871,058.13
  5. Step 5: Solve for x
    x = 1,340,871,058.13/16,974.56
  6. Step 6: Final answer
    x = 78,992.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.