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Finding the Third Proportional to 21,067 and 46,514

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Solution

The third proportional to 21,067 and 46,514 is: 102,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,067 : 46,514 = 46,514 : x
  2. Step 2: Convert to fraction form
    21,067/46,514 = 46,514/x
  3. Step 3: Cross multiply
    21,067x = 46,514 × 46,514
  4. Step 4: Simplify right side
    21,067x = 2,163,552,196
  5. Step 5: Solve for x
    x = 2,163,552,196/21,067
  6. Step 6: Final answer
    x = 102,698.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.