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Finding the Third Proportional to 12,452.63 and 27,092.25

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Solution

The third proportional to 12,452.63 and 27,092.25 is: 58,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.63 : 27,092.25 = 27,092.25 : x
  2. Step 2: Convert to fraction form
    12,452.63/27,092.25 = 27,092.25/x
  3. Step 3: Cross multiply
    12,452.63x = 27,092.25 × 27,092.25
  4. Step 4: Simplify right side
    12,452.63x = 733,990,010.06
  5. Step 5: Solve for x
    x = 733,990,010.06/12,452.63
  6. Step 6: Final answer
    x = 58,942.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.