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Finding the Third Proportional to 22,870 and 34,366

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Solution

The third proportional to 22,870 and 34,366 is: 51,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,870 : 34,366 = 34,366 : x
  2. Step 2: Convert to fraction form
    22,870/34,366 = 34,366/x
  3. Step 3: Cross multiply
    22,870x = 34,366 × 34,366
  4. Step 4: Simplify right side
    22,870x = 1,181,021,956
  5. Step 5: Solve for x
    x = 1,181,021,956/22,870
  6. Step 6: Final answer
    x = 51,640.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.