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Finding the Third Proportional to 12,494.25 and 17,843.63

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Solution

The third proportional to 12,494.25 and 17,843.63 is: 25,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.25 : 17,843.63 = 17,843.63 : x
  2. Step 2: Convert to fraction form
    12,494.25/17,843.63 = 17,843.63/x
  3. Step 3: Cross multiply
    12,494.25x = 17,843.63 × 17,843.63
  4. Step 4: Simplify right side
    12,494.25x = 318,394,953.14
  5. Step 5: Solve for x
    x = 318,394,953.14/12,494.25
  6. Step 6: Final answer
    x = 25,483.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.