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Finding the Third Proportional to 8,307.56 and 11,635.31

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Solution

The third proportional to 8,307.56 and 11,635.31 is: 16,296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.56 : 11,635.31 = 11,635.31 : x
  2. Step 2: Convert to fraction form
    8,307.56/11,635.31 = 11,635.31/x
  3. Step 3: Cross multiply
    8,307.56x = 11,635.31 × 11,635.31
  4. Step 4: Simplify right side
    8,307.56x = 135,380,496.97
  5. Step 5: Solve for x
    x = 135,380,496.97/8,307.56
  6. Step 6: Final answer
    x = 16,296.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.