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Finding the Third Proportional to 6,857.25 and 14,755.13

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Solution

The third proportional to 6,857.25 and 14,755.13 is: 31,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.25 : 14,755.13 = 14,755.13 : x
  2. Step 2: Convert to fraction form
    6,857.25/14,755.13 = 14,755.13/x
  3. Step 3: Cross multiply
    6,857.25x = 14,755.13 × 14,755.13
  4. Step 4: Simplify right side
    6,857.25x = 217,713,713.77
  5. Step 5: Solve for x
    x = 217,713,713.77/6,857.25
  6. Step 6: Final answer
    x = 31,749.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.