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Finding the Third Proportional to 13,213.97 and 18,119.95

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Solution

The third proportional to 13,213.97 and 18,119.95 is: 24,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.97 : 18,119.95 = 18,119.95 : x
  2. Step 2: Convert to fraction form
    13,213.97/18,119.95 = 18,119.95/x
  3. Step 3: Cross multiply
    13,213.97x = 18,119.95 × 18,119.95
  4. Step 4: Simplify right side
    13,213.97x = 328,332,701.25
  5. Step 5: Solve for x
    x = 328,332,701.25/13,213.97
  6. Step 6: Final answer
    x = 24,847.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.