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Finding the Third Proportional to 11,512.13 and 24,256.13

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Solution

The third proportional to 11,512.13 and 24,256.13 is: 51,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.13 : 24,256.13 = 24,256.13 : x
  2. Step 2: Convert to fraction form
    11,512.13/24,256.13 = 24,256.13/x
  3. Step 3: Cross multiply
    11,512.13x = 24,256.13 × 24,256.13
  4. Step 4: Simplify right side
    11,512.13x = 588,359,600.02
  5. Step 5: Solve for x
    x = 588,359,600.02/11,512.13
  6. Step 6: Final answer
    x = 51,107.82

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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.