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Finding the Third Proportional to 18,737 and 28,229

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Solution

The third proportional to 18,737 and 28,229 is: 42,529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,737 : 28,229 = 28,229 : x
  2. Step 2: Convert to fraction form
    18,737/28,229 = 28,229/x
  3. Step 3: Cross multiply
    18,737x = 28,229 × 28,229
  4. Step 4: Simplify right side
    18,737x = 796,876,441
  5. Step 5: Solve for x
    x = 796,876,441/18,737
  6. Step 6: Final answer
    x = 42,529.56

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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.