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Finding the Third Proportional to 6,204.94 and 11,019.38

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Solution

The third proportional to 6,204.94 and 11,019.38 is: 19,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.94 : 11,019.38 = 11,019.38 : x
  2. Step 2: Convert to fraction form
    6,204.94/11,019.38 = 11,019.38/x
  3. Step 3: Cross multiply
    6,204.94x = 11,019.38 × 11,019.38
  4. Step 4: Simplify right side
    6,204.94x = 121,426,625.39
  5. Step 5: Solve for x
    x = 121,426,625.39/6,204.94
  6. Step 6: Final answer
    x = 19,569.36

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.