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Finding the Third Proportional to 2,350.27 and 5,246.02

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Solution

The third proportional to 2,350.27 and 5,246.02 is: 11,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.27 : 5,246.02 = 5,246.02 : x
  2. Step 2: Convert to fraction form
    2,350.27/5,246.02 = 5,246.02/x
  3. Step 3: Cross multiply
    2,350.27x = 5,246.02 × 5,246.02
  4. Step 4: Simplify right side
    2,350.27x = 27,520,679.94
  5. Step 5: Solve for x
    x = 27,520,679.94/2,350.27
  6. Step 6: Final answer
    x = 11,709.60

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.