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Finding the Third Proportional to 6,847.31 and 10,573.31

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Solution

The third proportional to 6,847.31 and 10,573.31 is: 16,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.31 : 10,573.31 = 10,573.31 : x
  2. Step 2: Convert to fraction form
    6,847.31/10,573.31 = 10,573.31/x
  3. Step 3: Cross multiply
    6,847.31x = 10,573.31 × 10,573.31
  4. Step 4: Simplify right side
    6,847.31x = 111,794,937.22
  5. Step 5: Solve for x
    x = 111,794,937.22/6,847.31
  6. Step 6: Final answer
    x = 16,326.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.