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Finding the Third Proportional to 10,832 and 23,307

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Solution

The third proportional to 10,832 and 23,307 is: 50,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832 : 23,307 = 23,307 : x
  2. Step 2: Convert to fraction form
    10,832/23,307 = 23,307/x
  3. Step 3: Cross multiply
    10,832x = 23,307 × 23,307
  4. Step 4: Simplify right side
    10,832x = 543,216,249
  5. Step 5: Solve for x
    x = 543,216,249/10,832
  6. Step 6: Final answer
    x = 50,149.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.