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Finding the Third Proportional to 3,874.71 and 8,362.62

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Solution

The third proportional to 3,874.71 and 8,362.62 is: 18,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.71 : 8,362.62 = 8,362.62 : x
  2. Step 2: Convert to fraction form
    3,874.71/8,362.62 = 8,362.62/x
  3. Step 3: Cross multiply
    3,874.71x = 8,362.62 × 8,362.62
  4. Step 4: Simplify right side
    3,874.71x = 69,933,366.22
  5. Step 5: Solve for x
    x = 69,933,366.22/3,874.71
  6. Step 6: Final answer
    x = 18,048.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.