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Finding the Third Proportional to 12,994.13 and 20,112.19

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Solution

The third proportional to 12,994.13 and 20,112.19 is: 31,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.13 : 20,112.19 = 20,112.19 : x
  2. Step 2: Convert to fraction form
    12,994.13/20,112.19 = 20,112.19/x
  3. Step 3: Cross multiply
    12,994.13x = 20,112.19 × 20,112.19
  4. Step 4: Simplify right side
    12,994.13x = 404,500,086.04
  5. Step 5: Solve for x
    x = 404,500,086.04/12,994.13
  6. Step 6: Final answer
    x = 31,129.46

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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.