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Finding the Third Proportional to 10,813.97 and 23,245.42

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Solution

The third proportional to 10,813.97 and 23,245.42 is: 49,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.97 : 23,245.42 = 23,245.42 : x
  2. Step 2: Convert to fraction form
    10,813.97/23,245.42 = 23,245.42/x
  3. Step 3: Cross multiply
    10,813.97x = 23,245.42 × 23,245.42
  4. Step 4: Simplify right side
    10,813.97x = 540,349,456.54
  5. Step 5: Solve for x
    x = 540,349,456.54/10,813.97
  6. Step 6: Final answer
    x = 49,967.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.