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Finding the Third Proportional to 23,121 and 34,845

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Solution

The third proportional to 23,121 and 34,845 is: 52,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,121 : 34,845 = 34,845 : x
  2. Step 2: Convert to fraction form
    23,121/34,845 = 34,845/x
  3. Step 3: Cross multiply
    23,121x = 34,845 × 34,845
  4. Step 4: Simplify right side
    23,121x = 1,214,174,025
  5. Step 5: Solve for x
    x = 1,214,174,025/23,121
  6. Step 6: Final answer
    x = 52,513.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.