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Finding the Third Proportional to 8,351.23 and 19,711.48

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Solution

The third proportional to 8,351.23 and 19,711.48 is: 46,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.23 : 19,711.48 = 19,711.48 : x
  2. Step 2: Convert to fraction form
    8,351.23/19,711.48 = 19,711.48/x
  3. Step 3: Cross multiply
    8,351.23x = 19,711.48 × 19,711.48
  4. Step 4: Simplify right side
    8,351.23x = 388,542,308.27
  5. Step 5: Solve for x
    x = 388,542,308.27/8,351.23
  6. Step 6: Final answer
    x = 46,525.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.