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Finding the Third Proportional to 8,326.13 and 20,393.44

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Solution

The third proportional to 8,326.13 and 20,393.44 is: 49,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.13 : 20,393.44 = 20,393.44 : x
  2. Step 2: Convert to fraction form
    8,326.13/20,393.44 = 20,393.44/x
  3. Step 3: Cross multiply
    8,326.13x = 20,393.44 × 20,393.44
  4. Step 4: Simplify right side
    8,326.13x = 415,892,293.07
  5. Step 5: Solve for x
    x = 415,892,293.07/8,326.13
  6. Step 6: Final answer
    x = 49,950.28

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.