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Finding the Third Proportional to 11,512.13 and 24,262.03

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Solution

The third proportional to 11,512.13 and 24,262.03 is: 51,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.13 : 24,262.03 = 24,262.03 : x
  2. Step 2: Convert to fraction form
    11,512.13/24,262.03 = 24,262.03/x
  3. Step 3: Cross multiply
    11,512.13x = 24,262.03 × 24,262.03
  4. Step 4: Simplify right side
    11,512.13x = 588,646,160.38
  5. Step 5: Solve for x
    x = 588,646,160.38/11,512.13
  6. Step 6: Final answer
    x = 51,132.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.