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Finding the Third Proportional to 11,871.38 and 25,331.63

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Solution

The third proportional to 11,871.38 and 25,331.63 is: 54,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.38 : 25,331.63 = 25,331.63 : x
  2. Step 2: Convert to fraction form
    11,871.38/25,331.63 = 25,331.63/x
  3. Step 3: Cross multiply
    11,871.38x = 25,331.63 × 25,331.63
  4. Step 4: Simplify right side
    11,871.38x = 641,691,225.14
  5. Step 5: Solve for x
    x = 641,691,225.14/11,871.38
  6. Step 6: Final answer
    x = 54,053.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.