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Finding the Third Proportional to 3,624.03 and 7,784.19

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Solution

The third proportional to 3,624.03 and 7,784.19 is: 16,719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.03 : 7,784.19 = 7,784.19 : x
  2. Step 2: Convert to fraction form
    3,624.03/7,784.19 = 7,784.19/x
  3. Step 3: Cross multiply
    3,624.03x = 7,784.19 × 7,784.19
  4. Step 4: Simplify right side
    3,624.03x = 60,593,575.04
  5. Step 5: Solve for x
    x = 60,593,575.04/3,624.03
  6. Step 6: Final answer
    x = 16,719.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.