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Finding the Third Proportional to 22,865 and 46,366

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Solution

The third proportional to 22,865 and 46,366 is: 94,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,865 : 46,366 = 46,366 : x
  2. Step 2: Convert to fraction form
    22,865/46,366 = 46,366/x
  3. Step 3: Cross multiply
    22,865x = 46,366 × 46,366
  4. Step 4: Simplify right side
    22,865x = 2,149,805,956
  5. Step 5: Solve for x
    x = 2,149,805,956/22,865
  6. Step 6: Final answer
    x = 94,021.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.