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Finding the Third Proportional to 8,212 and 18,514

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Solution

The third proportional to 8,212 and 18,514 is: 41,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212 : 18,514 = 18,514 : x
  2. Step 2: Convert to fraction form
    8,212/18,514 = 18,514/x
  3. Step 3: Cross multiply
    8,212x = 18,514 × 18,514
  4. Step 4: Simplify right side
    8,212x = 342,768,196
  5. Step 5: Solve for x
    x = 342,768,196/8,212
  6. Step 6: Final answer
    x = 41,739.92

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.