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Finding the Third Proportional to 3,889.69 and 6,184.41

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Solution

The third proportional to 3,889.69 and 6,184.41 is: 9,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.69 : 6,184.41 = 6,184.41 : x
  2. Step 2: Convert to fraction form
    3,889.69/6,184.41 = 6,184.41/x
  3. Step 3: Cross multiply
    3,889.69x = 6,184.41 × 6,184.41
  4. Step 4: Simplify right side
    3,889.69x = 38,246,880.67
  5. Step 5: Solve for x
    x = 38,246,880.67/3,889.69
  6. Step 6: Final answer
    x = 9,832.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.