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Finding the Third Proportional to 4,761.50 and 10,627

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Solution

The third proportional to 4,761.50 and 10,627 is: 23,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.50 : 10,627 = 10,627 : x
  2. Step 2: Convert to fraction form
    4,761.50/10,627 = 10,627/x
  3. Step 3: Cross multiply
    4,761.50x = 10,627 × 10,627
  4. Step 4: Simplify right side
    4,761.50x = 112,933,129
  5. Step 5: Solve for x
    x = 112,933,129/4,761.50
  6. Step 6: Final answer
    x = 23,717.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.