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Finding the Third Proportional to 18,514 and 28,231

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Solution

The third proportional to 18,514 and 28,231 is: 43,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,514 : 28,231 = 28,231 : x
  2. Step 2: Convert to fraction form
    18,514/28,231 = 28,231/x
  3. Step 3: Cross multiply
    18,514x = 28,231 × 28,231
  4. Step 4: Simplify right side
    18,514x = 796,989,361
  5. Step 5: Solve for x
    x = 796,989,361/18,514
  6. Step 6: Final answer
    x = 43,047.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.