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Finding the Third Proportional to 5,786.44 and 7,841.81

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Solution

The third proportional to 5,786.44 and 7,841.81 is: 10,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.44 : 7,841.81 = 7,841.81 : x
  2. Step 2: Convert to fraction form
    5,786.44/7,841.81 = 7,841.81/x
  3. Step 3: Cross multiply
    5,786.44x = 7,841.81 × 7,841.81
  4. Step 4: Simplify right side
    5,786.44x = 61,494,023.29
  5. Step 5: Solve for x
    x = 61,494,023.29/5,786.44
  6. Step 6: Final answer
    x = 10,627.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.