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Finding the Third Proportional to 9,493.31 and 20,815.31

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Solution

The third proportional to 9,493.31 and 20,815.31 is: 45,640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.31 : 20,815.31 = 20,815.31 : x
  2. Step 2: Convert to fraction form
    9,493.31/20,815.31 = 20,815.31/x
  3. Step 3: Cross multiply
    9,493.31x = 20,815.31 × 20,815.31
  4. Step 4: Simplify right side
    9,493.31x = 433,277,234.47
  5. Step 5: Solve for x
    x = 433,277,234.47/9,493.31
  6. Step 6: Final answer
    x = 45,640.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.