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Finding the Third Proportional to 6,183.84 and 12,058.24

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Solution

The third proportional to 6,183.84 and 12,058.24 is: 23,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.84 : 12,058.24 = 12,058.24 : x
  2. Step 2: Convert to fraction form
    6,183.84/12,058.24 = 12,058.24/x
  3. Step 3: Cross multiply
    6,183.84x = 12,058.24 × 12,058.24
  4. Step 4: Simplify right side
    6,183.84x = 145,401,204.65
  5. Step 5: Solve for x
    x = 145,401,204.65/6,183.84
  6. Step 6: Final answer
    x = 23,513.08

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.