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Finding the Third Proportional to 20,186 and 48,845

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Solution

The third proportional to 20,186 and 48,845 is: 118,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186 : 48,845 = 48,845 : x
  2. Step 2: Convert to fraction form
    20,186/48,845 = 48,845/x
  3. Step 3: Cross multiply
    20,186x = 48,845 × 48,845
  4. Step 4: Simplify right side
    20,186x = 2,385,834,025
  5. Step 5: Solve for x
    x = 2,385,834,025/20,186
  6. Step 6: Final answer
    x = 118,192.51

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.