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Finding the Third Proportional to 17,884.13 and 26,178.19

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Solution

The third proportional to 17,884.13 and 26,178.19 is: 38,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.13 : 26,178.19 = 26,178.19 : x
  2. Step 2: Convert to fraction form
    17,884.13/26,178.19 = 26,178.19/x
  3. Step 3: Cross multiply
    17,884.13x = 26,178.19 × 26,178.19
  4. Step 4: Simplify right side
    17,884.13x = 685,297,500.79
  5. Step 5: Solve for x
    x = 685,297,500.79/17,884.13
  6. Step 6: Final answer
    x = 38,318.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.