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Finding the Third Proportional to 12,615.12 and 19,589.03

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Solution

The third proportional to 12,615.12 and 19,589.03 is: 30,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.12 : 19,589.03 = 19,589.03 : x
  2. Step 2: Convert to fraction form
    12,615.12/19,589.03 = 19,589.03/x
  3. Step 3: Cross multiply
    12,615.12x = 19,589.03 × 19,589.03
  4. Step 4: Simplify right side
    12,615.12x = 383,729,992.27
  5. Step 5: Solve for x
    x = 383,729,992.27/12,615.12
  6. Step 6: Final answer
    x = 30,418.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.