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Finding the Third Proportional to 8,935.31 and 13,251.09

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Solution

The third proportional to 8,935.31 and 13,251.09 is: 19,651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,935.31 : 13,251.09 = 13,251.09 : x
  2. Step 2: Convert to fraction form
    8,935.31/13,251.09 = 13,251.09/x
  3. Step 3: Cross multiply
    8,935.31x = 13,251.09 × 13,251.09
  4. Step 4: Simplify right side
    8,935.31x = 175,591,485.57
  5. Step 5: Solve for x
    x = 175,591,485.57/8,935.31
  6. Step 6: Final answer
    x = 19,651.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.