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Finding the Third Proportional to 4,284.14 and 8,911.27

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Solution

The third proportional to 4,284.14 and 8,911.27 is: 18,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.14 : 8,911.27 = 8,911.27 : x
  2. Step 2: Convert to fraction form
    4,284.14/8,911.27 = 8,911.27/x
  3. Step 3: Cross multiply
    4,284.14x = 8,911.27 × 8,911.27
  4. Step 4: Simplify right side
    4,284.14x = 79,410,655.04
  5. Step 5: Solve for x
    x = 79,410,655.04/4,284.14
  6. Step 6: Final answer
    x = 18,535.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.