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Finding the Third Proportional to 3,578.81 and 5,351.63

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Solution

The third proportional to 3,578.81 and 5,351.63 is: 8,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.81 : 5,351.63 = 5,351.63 : x
  2. Step 2: Convert to fraction form
    3,578.81/5,351.63 = 5,351.63/x
  3. Step 3: Cross multiply
    3,578.81x = 5,351.63 × 5,351.63
  4. Step 4: Simplify right side
    3,578.81x = 28,639,890.14
  5. Step 5: Solve for x
    x = 28,639,890.14/3,578.81
  6. Step 6: Final answer
    x = 8,002.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.