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Finding the Third Proportional to 11,634.75 and 25,443

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Solution

The third proportional to 11,634.75 and 25,443 is: 55,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.75 : 25,443 = 25,443 : x
  2. Step 2: Convert to fraction form
    11,634.75/25,443 = 25,443/x
  3. Step 3: Cross multiply
    11,634.75x = 25,443 × 25,443
  4. Step 4: Simplify right side
    11,634.75x = 647,346,249
  5. Step 5: Solve for x
    x = 647,346,249/11,634.75
  6. Step 6: Final answer
    x = 55,639.03

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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.