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Finding the Third Proportional to 5,776.73 and 11,949.61

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Solution

The third proportional to 5,776.73 and 11,949.61 is: 24,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.73 : 11,949.61 = 11,949.61 : x
  2. Step 2: Convert to fraction form
    5,776.73/11,949.61 = 11,949.61/x
  3. Step 3: Cross multiply
    5,776.73x = 11,949.61 × 11,949.61
  4. Step 4: Simplify right side
    5,776.73x = 142,793,164.22
  5. Step 5: Solve for x
    x = 142,793,164.22/5,776.73
  6. Step 6: Final answer
    x = 24,718.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.