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Finding the Third Proportional to 4,214.53 and 8,884.69

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Solution

The third proportional to 4,214.53 and 8,884.69 is: 18,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.53 : 8,884.69 = 8,884.69 : x
  2. Step 2: Convert to fraction form
    4,214.53/8,884.69 = 8,884.69/x
  3. Step 3: Cross multiply
    4,214.53x = 8,884.69 × 8,884.69
  4. Step 4: Simplify right side
    4,214.53x = 78,937,671.97
  5. Step 5: Solve for x
    x = 78,937,671.97/4,214.53
  6. Step 6: Final answer
    x = 18,729.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.