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Finding the Third Proportional to 11,505 and 25,163

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Solution

The third proportional to 11,505 and 25,163 is: 55,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505 : 25,163 = 25,163 : x
  2. Step 2: Convert to fraction form
    11,505/25,163 = 25,163/x
  3. Step 3: Cross multiply
    11,505x = 25,163 × 25,163
  4. Step 4: Simplify right side
    11,505x = 633,176,569
  5. Step 5: Solve for x
    x = 633,176,569/11,505
  6. Step 6: Final answer
    x = 55,034.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.