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Finding the Third Proportional to 4,138 and 8,684

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Solution

The third proportional to 4,138 and 8,684 is: 18,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138 : 8,684 = 8,684 : x
  2. Step 2: Convert to fraction form
    4,138/8,684 = 8,684/x
  3. Step 3: Cross multiply
    4,138x = 8,684 × 8,684
  4. Step 4: Simplify right side
    4,138x = 75,411,856
  5. Step 5: Solve for x
    x = 75,411,856/4,138
  6. Step 6: Final answer
    x = 18,224.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.