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Finding the Third Proportional to 8,906.75 and 19,005.25

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Solution

The third proportional to 8,906.75 and 19,005.25 is: 40,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.75 : 19,005.25 = 19,005.25 : x
  2. Step 2: Convert to fraction form
    8,906.75/19,005.25 = 19,005.25/x
  3. Step 3: Cross multiply
    8,906.75x = 19,005.25 × 19,005.25
  4. Step 4: Simplify right side
    8,906.75x = 361,199,527.56
  5. Step 5: Solve for x
    x = 361,199,527.56/8,906.75
  6. Step 6: Final answer
    x = 40,553.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.