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Finding the Third Proportional to 12,857.63 and 27,294.75

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Solution

The third proportional to 12,857.63 and 27,294.75 is: 57,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.63 : 27,294.75 = 27,294.75 : x
  2. Step 2: Convert to fraction form
    12,857.63/27,294.75 = 27,294.75/x
  3. Step 3: Cross multiply
    12,857.63x = 27,294.75 × 27,294.75
  4. Step 4: Simplify right side
    12,857.63x = 745,003,377.56
  5. Step 5: Solve for x
    x = 745,003,377.56/12,857.63
  6. Step 6: Final answer
    x = 57,942.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.