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Finding the Third Proportional to 9,534.94 and 13,755.66

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Solution

The third proportional to 9,534.94 and 13,755.66 is: 19,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.94 : 13,755.66 = 13,755.66 : x
  2. Step 2: Convert to fraction form
    9,534.94/13,755.66 = 13,755.66/x
  3. Step 3: Cross multiply
    9,534.94x = 13,755.66 × 13,755.66
  4. Step 4: Simplify right side
    9,534.94x = 189,218,078.87
  5. Step 5: Solve for x
    x = 189,218,078.87/9,534.94
  6. Step 6: Final answer
    x = 19,844.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.