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Finding the Third Proportional to 7,257.38 and 10,857.94

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Solution

The third proportional to 7,257.38 and 10,857.94 is: 16,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.38 : 10,857.94 = 10,857.94 : x
  2. Step 2: Convert to fraction form
    7,257.38/10,857.94 = 10,857.94/x
  3. Step 3: Cross multiply
    7,257.38x = 10,857.94 × 10,857.94
  4. Step 4: Simplify right side
    7,257.38x = 117,894,806.75
  5. Step 5: Solve for x
    x = 117,894,806.75/7,257.38
  6. Step 6: Final answer
    x = 16,244.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.