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Finding the Third Proportional to 22,761 and 46,615

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Solution

The third proportional to 22,761 and 46,615 is: 95,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,761 : 46,615 = 46,615 : x
  2. Step 2: Convert to fraction form
    22,761/46,615 = 46,615/x
  3. Step 3: Cross multiply
    22,761x = 46,615 × 46,615
  4. Step 4: Simplify right side
    22,761x = 2,172,958,225
  5. Step 5: Solve for x
    x = 2,172,958,225/22,761
  6. Step 6: Final answer
    x = 95,468.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.