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Finding the Third Proportional to 6,239.48 and 13,630.41

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Solution

The third proportional to 6,239.48 and 13,630.41 is: 29,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239.48 : 13,630.41 = 13,630.41 : x
  2. Step 2: Convert to fraction form
    6,239.48/13,630.41 = 13,630.41/x
  3. Step 3: Cross multiply
    6,239.48x = 13,630.41 × 13,630.41
  4. Step 4: Simplify right side
    6,239.48x = 185,787,974.54
  5. Step 5: Solve for x
    x = 185,787,974.54/6,239.48
  6. Step 6: Final answer
    x = 29,776.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.