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Finding the Third Proportional to 5,786.44 and 8,722.69

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Solution

The third proportional to 5,786.44 and 8,722.69 is: 13,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.44 : 8,722.69 = 8,722.69 : x
  2. Step 2: Convert to fraction form
    5,786.44/8,722.69 = 8,722.69/x
  3. Step 3: Cross multiply
    5,786.44x = 8,722.69 × 8,722.69
  4. Step 4: Simplify right side
    5,786.44x = 76,085,277.22
  5. Step 5: Solve for x
    x = 76,085,277.22/5,786.44
  6. Step 6: Final answer
    x = 13,148.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.