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Finding the Third Proportional to 7,801.31 and 11,674.13

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Solution

The third proportional to 7,801.31 and 11,674.13 is: 17,469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.31 : 11,674.13 = 11,674.13 : x
  2. Step 2: Convert to fraction form
    7,801.31/11,674.13 = 11,674.13/x
  3. Step 3: Cross multiply
    7,801.31x = 11,674.13 × 11,674.13
  4. Step 4: Simplify right side
    7,801.31x = 136,285,194.52
  5. Step 5: Solve for x
    x = 136,285,194.52/7,801.31
  6. Step 6: Final answer
    x = 17,469.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.