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Finding the Third Proportional to 8,624.13 and 18,827.75

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Solution

The third proportional to 8,624.13 and 18,827.75 is: 41,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.13 : 18,827.75 = 18,827.75 : x
  2. Step 2: Convert to fraction form
    8,624.13/18,827.75 = 18,827.75/x
  3. Step 3: Cross multiply
    8,624.13x = 18,827.75 × 18,827.75
  4. Step 4: Simplify right side
    8,624.13x = 354,484,170.06
  5. Step 5: Solve for x
    x = 354,484,170.06/8,624.13
  6. Step 6: Final answer
    x = 41,103.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.