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Finding the Third Proportional to 18,501 and 28,215

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Solution

The third proportional to 18,501 and 28,215 is: 43,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,501 : 28,215 = 28,215 : x
  2. Step 2: Convert to fraction form
    18,501/28,215 = 28,215/x
  3. Step 3: Cross multiply
    18,501x = 28,215 × 28,215
  4. Step 4: Simplify right side
    18,501x = 796,086,225
  5. Step 5: Solve for x
    x = 796,086,225/18,501
  6. Step 6: Final answer
    x = 43,029.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.