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Finding the Third Proportional to 18,646 and 28,150

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Solution

The third proportional to 18,646 and 28,150 is: 42,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646 : 28,150 = 28,150 : x
  2. Step 2: Convert to fraction form
    18,646/28,150 = 28,150/x
  3. Step 3: Cross multiply
    18,646x = 28,150 × 28,150
  4. Step 4: Simplify right side
    18,646x = 792,422,500
  5. Step 5: Solve for x
    x = 792,422,500/18,646
  6. Step 6: Final answer
    x = 42,498.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.