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Finding the Third Proportional to 6,724.74 and 14,776.49

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Solution

The third proportional to 6,724.74 and 14,776.49 is: 32,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.74 : 14,776.49 = 14,776.49 : x
  2. Step 2: Convert to fraction form
    6,724.74/14,776.49 = 14,776.49/x
  3. Step 3: Cross multiply
    6,724.74x = 14,776.49 × 14,776.49
  4. Step 4: Simplify right side
    6,724.74x = 218,344,605.93
  5. Step 5: Solve for x
    x = 218,344,605.93/6,724.74
  6. Step 6: Final answer
    x = 32,468.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.