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Finding the Third Proportional to 4,684 and 10,844

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Solution

The third proportional to 4,684 and 10,844 is: 25,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684 : 10,844 = 10,844 : x
  2. Step 2: Convert to fraction form
    4,684/10,844 = 10,844/x
  3. Step 3: Cross multiply
    4,684x = 10,844 × 10,844
  4. Step 4: Simplify right side
    4,684x = 117,592,336
  5. Step 5: Solve for x
    x = 117,592,336/4,684
  6. Step 6: Final answer
    x = 25,105.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.