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Finding the Third Proportional to 8,344.50 and 19,403.25

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Solution

The third proportional to 8,344.50 and 19,403.25 is: 45,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.50 : 19,403.25 = 19,403.25 : x
  2. Step 2: Convert to fraction form
    8,344.50/19,403.25 = 19,403.25/x
  3. Step 3: Cross multiply
    8,344.50x = 19,403.25 × 19,403.25
  4. Step 4: Simplify right side
    8,344.50x = 376,486,110.56
  5. Step 5: Solve for x
    x = 376,486,110.56/8,344.50
  6. Step 6: Final answer
    x = 45,117.88

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.