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Finding the Third Proportional to 5,732.44 and 14,694.75

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Solution

The third proportional to 5,732.44 and 14,694.75 is: 37,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.44 : 14,694.75 = 14,694.75 : x
  2. Step 2: Convert to fraction form
    5,732.44/14,694.75 = 14,694.75/x
  3. Step 3: Cross multiply
    5,732.44x = 14,694.75 × 14,694.75
  4. Step 4: Simplify right side
    5,732.44x = 215,935,677.56
  5. Step 5: Solve for x
    x = 215,935,677.56/5,732.44
  6. Step 6: Final answer
    x = 37,669.09

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.