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Finding the Third Proportional to 11,033.24 and 23,830.61

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Solution

The third proportional to 11,033.24 and 23,830.61 is: 51,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,033.24 : 23,830.61 = 23,830.61 : x
  2. Step 2: Convert to fraction form
    11,033.24/23,830.61 = 23,830.61/x
  3. Step 3: Cross multiply
    11,033.24x = 23,830.61 × 23,830.61
  4. Step 4: Simplify right side
    11,033.24x = 567,898,036.27
  5. Step 5: Solve for x
    x = 567,898,036.27/11,033.24
  6. Step 6: Final answer
    x = 51,471.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.