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Finding the Third Proportional to 22,870 and 48,812

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Solution

The third proportional to 22,870 and 48,812 is: 104,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,870 : 48,812 = 48,812 : x
  2. Step 2: Convert to fraction form
    22,870/48,812 = 48,812/x
  3. Step 3: Cross multiply
    22,870x = 48,812 × 48,812
  4. Step 4: Simplify right side
    22,870x = 2,382,611,344
  5. Step 5: Solve for x
    x = 2,382,611,344/22,870
  6. Step 6: Final answer
    x = 104,180.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.