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Finding the Third Proportional to 5,359.29 and 10,974.87

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Solution

The third proportional to 5,359.29 and 10,974.87 is: 22,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.29 : 10,974.87 = 10,974.87 : x
  2. Step 2: Convert to fraction form
    5,359.29/10,974.87 = 10,974.87/x
  3. Step 3: Cross multiply
    5,359.29x = 10,974.87 × 10,974.87
  4. Step 4: Simplify right side
    5,359.29x = 120,447,709.78
  5. Step 5: Solve for x
    x = 120,447,709.78/5,359.29
  6. Step 6: Final answer
    x = 22,474.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.