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Finding the Third Proportional to 11,512.13 and 22,754.67

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Solution

The third proportional to 11,512.13 and 22,754.67 is: 44,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.13 : 22,754.67 = 22,754.67 : x
  2. Step 2: Convert to fraction form
    11,512.13/22,754.67 = 22,754.67/x
  3. Step 3: Cross multiply
    11,512.13x = 22,754.67 × 22,754.67
  4. Step 4: Simplify right side
    11,512.13x = 517,775,092.14
  5. Step 5: Solve for x
    x = 517,775,092.14/11,512.13
  6. Step 6: Final answer
    x = 44,976.50

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.