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Finding the Third Proportional to 20,896 and 43,514

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Solution

The third proportional to 20,896 and 43,514 is: 90,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896 : 43,514 = 43,514 : x
  2. Step 2: Convert to fraction form
    20,896/43,514 = 43,514/x
  3. Step 3: Cross multiply
    20,896x = 43,514 × 43,514
  4. Step 4: Simplify right side
    20,896x = 1,893,468,196
  5. Step 5: Solve for x
    x = 1,893,468,196/20,896
  6. Step 6: Final answer
    x = 90,613.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.