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Finding the Third Proportional to 9,249.75 and 19,976.63

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Solution

The third proportional to 9,249.75 and 19,976.63 is: 43,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.75 : 19,976.63 = 19,976.63 : x
  2. Step 2: Convert to fraction form
    9,249.75/19,976.63 = 19,976.63/x
  3. Step 3: Cross multiply
    9,249.75x = 19,976.63 × 19,976.63
  4. Step 4: Simplify right side
    9,249.75x = 399,065,546.39
  5. Step 5: Solve for x
    x = 399,065,546.39/9,249.75
  6. Step 6: Final answer
    x = 43,143.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.