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Finding the Third Proportional to 12,394.13 and 24,165.56

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Solution

The third proportional to 12,394.13 and 24,165.56 is: 47,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.13 : 24,165.56 = 24,165.56 : x
  2. Step 2: Convert to fraction form
    12,394.13/24,165.56 = 24,165.56/x
  3. Step 3: Cross multiply
    12,394.13x = 24,165.56 × 24,165.56
  4. Step 4: Simplify right side
    12,394.13x = 583,974,410.94
  5. Step 5: Solve for x
    x = 583,974,410.94/12,394.13
  6. Step 6: Final answer
    x = 47,117.03

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.