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Finding the Third Proportional to 3,784 and 8,287

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Solution

The third proportional to 3,784 and 8,287 is: 18,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784 : 8,287 = 8,287 : x
  2. Step 2: Convert to fraction form
    3,784/8,287 = 8,287/x
  3. Step 3: Cross multiply
    3,784x = 8,287 × 8,287
  4. Step 4: Simplify right side
    3,784x = 68,674,369
  5. Step 5: Solve for x
    x = 68,674,369/3,784
  6. Step 6: Final answer
    x = 18,148.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.