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Finding the Third Proportional to 4,088.25 and 8,711.44

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Solution

The third proportional to 4,088.25 and 8,711.44 is: 18,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088.25 : 8,711.44 = 8,711.44 : x
  2. Step 2: Convert to fraction form
    4,088.25/8,711.44 = 8,711.44/x
  3. Step 3: Cross multiply
    4,088.25x = 8,711.44 × 8,711.44
  4. Step 4: Simplify right side
    4,088.25x = 75,889,143.32
  5. Step 5: Solve for x
    x = 75,889,143.32/4,088.25
  6. Step 6: Final answer
    x = 18,562.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.