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Finding the Third Proportional to 15,962 and 23,845

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Solution

The third proportional to 15,962 and 23,845 is: 35,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,962 : 23,845 = 23,845 : x
  2. Step 2: Convert to fraction form
    15,962/23,845 = 23,845/x
  3. Step 3: Cross multiply
    15,962x = 23,845 × 23,845
  4. Step 4: Simplify right side
    15,962x = 568,584,025
  5. Step 5: Solve for x
    x = 568,584,025/15,962
  6. Step 6: Final answer
    x = 35,621.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.