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Finding the Third Proportional to 21,791.25 and 46,203.75

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Solution

The third proportional to 21,791.25 and 46,203.75 is: 97,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,791.25 : 46,203.75 = 46,203.75 : x
  2. Step 2: Convert to fraction form
    21,791.25/46,203.75 = 46,203.75/x
  3. Step 3: Cross multiply
    21,791.25x = 46,203.75 × 46,203.75
  4. Step 4: Simplify right side
    21,791.25x = 2,134,786,514.06
  5. Step 5: Solve for x
    x = 2,134,786,514.06/21,791.25
  6. Step 6: Final answer
    x = 97,965.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.