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Finding the Third Proportional to 4,684 and 8,018

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Solution

The third proportional to 4,684 and 8,018 is: 13,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684 : 8,018 = 8,018 : x
  2. Step 2: Convert to fraction form
    4,684/8,018 = 8,018/x
  3. Step 3: Cross multiply
    4,684x = 8,018 × 8,018
  4. Step 4: Simplify right side
    4,684x = 64,288,324
  5. Step 5: Solve for x
    x = 64,288,324/4,684
  6. Step 6: Final answer
    x = 13,725.09

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.