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Finding the Third Proportional to 6,906.52 and 11,635.52

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Solution

The third proportional to 6,906.52 and 11,635.52 is: 19,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.52 : 11,635.52 = 11,635.52 : x
  2. Step 2: Convert to fraction form
    6,906.52/11,635.52 = 11,635.52/x
  3. Step 3: Cross multiply
    6,906.52x = 11,635.52 × 11,635.52
  4. Step 4: Simplify right side
    6,906.52x = 135,385,405.66
  5. Step 5: Solve for x
    x = 135,385,405.66/6,906.52
  6. Step 6: Final answer
    x = 19,602.56

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.