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Finding the Third Proportional to 18,713 and 27,514

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Solution

The third proportional to 18,713 and 27,514 is: 40,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,713 : 27,514 = 27,514 : x
  2. Step 2: Convert to fraction form
    18,713/27,514 = 27,514/x
  3. Step 3: Cross multiply
    18,713x = 27,514 × 27,514
  4. Step 4: Simplify right side
    18,713x = 757,020,196
  5. Step 5: Solve for x
    x = 757,020,196/18,713
  6. Step 6: Final answer
    x = 40,454.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.