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Finding the Third Proportional to 2,362.92 and 5,151.09

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Solution

The third proportional to 2,362.92 and 5,151.09 is: 11,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.92 : 5,151.09 = 5,151.09 : x
  2. Step 2: Convert to fraction form
    2,362.92/5,151.09 = 5,151.09/x
  3. Step 3: Cross multiply
    2,362.92x = 5,151.09 × 5,151.09
  4. Step 4: Simplify right side
    2,362.92x = 26,533,766.82
  5. Step 5: Solve for x
    x = 26,533,766.82/2,362.92
  6. Step 6: Final answer
    x = 11,229.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.