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Finding the Third Proportional to 20,284 and 44,514

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Solution

The third proportional to 20,284 and 44,514 is: 97,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284 : 44,514 = 44,514 : x
  2. Step 2: Convert to fraction form
    20,284/44,514 = 44,514/x
  3. Step 3: Cross multiply
    20,284x = 44,514 × 44,514
  4. Step 4: Simplify right side
    20,284x = 1,981,496,196
  5. Step 5: Solve for x
    x = 1,981,496,196/20,284
  6. Step 6: Final answer
    x = 97,687.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.