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Finding the Third Proportional to 6,331.61 and 13,634.26

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Solution

The third proportional to 6,331.61 and 13,634.26 is: 29,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.61 : 13,634.26 = 13,634.26 : x
  2. Step 2: Convert to fraction form
    6,331.61/13,634.26 = 13,634.26/x
  3. Step 3: Cross multiply
    6,331.61x = 13,634.26 × 13,634.26
  4. Step 4: Simplify right side
    6,331.61x = 185,893,092.62
  5. Step 5: Solve for x
    x = 185,893,092.62/6,331.61
  6. Step 6: Final answer
    x = 29,359.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.