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Finding the Third Proportional to 23,190 and 34,794

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Solution

The third proportional to 23,190 and 34,794 is: 52,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,190 : 34,794 = 34,794 : x
  2. Step 2: Convert to fraction form
    23,190/34,794 = 34,794/x
  3. Step 3: Cross multiply
    23,190x = 34,794 × 34,794
  4. Step 4: Simplify right side
    23,190x = 1,210,622,436
  5. Step 5: Solve for x
    x = 1,210,622,436/23,190
  6. Step 6: Final answer
    x = 52,204.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.