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Finding the Third Proportional to 10,761.50 and 23,310.25

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Solution

The third proportional to 10,761.50 and 23,310.25 is: 50,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.50 : 23,310.25 = 23,310.25 : x
  2. Step 2: Convert to fraction form
    10,761.50/23,310.25 = 23,310.25/x
  3. Step 3: Cross multiply
    10,761.50x = 23,310.25 × 23,310.25
  4. Step 4: Simplify right side
    10,761.50x = 543,367,755.06
  5. Step 5: Solve for x
    x = 543,367,755.06/10,761.50
  6. Step 6: Final answer
    x = 50,491.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.