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Finding the Third Proportional to 12,035 and 25,163

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Solution

The third proportional to 12,035 and 25,163 is: 52,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035 : 25,163 = 25,163 : x
  2. Step 2: Convert to fraction form
    12,035/25,163 = 25,163/x
  3. Step 3: Cross multiply
    12,035x = 25,163 × 25,163
  4. Step 4: Simplify right side
    12,035x = 633,176,569
  5. Step 5: Solve for x
    x = 633,176,569/12,035
  6. Step 6: Final answer
    x = 52,611.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.