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Finding the Third Proportional to 6,206.91 and 9,616.92

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Solution

The third proportional to 6,206.91 and 9,616.92 is: 14,900.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.91 : 9,616.92 = 9,616.92 : x
  2. Step 2: Convert to fraction form
    6,206.91/9,616.92 = 9,616.92/x
  3. Step 3: Cross multiply
    6,206.91x = 9,616.92 × 9,616.92
  4. Step 4: Simplify right side
    6,206.91x = 92,485,186.35
  5. Step 5: Solve for x
    x = 92,485,186.35/6,206.91
  6. Step 6: Final answer
    x = 14,900.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.