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Finding the Third Proportional to 23,124 and 34,623

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Solution

The third proportional to 23,124 and 34,623 is: 51,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124 : 34,623 = 34,623 : x
  2. Step 2: Convert to fraction form
    23,124/34,623 = 34,623/x
  3. Step 3: Cross multiply
    23,124x = 34,623 × 34,623
  4. Step 4: Simplify right side
    23,124x = 1,198,752,129
  5. Step 5: Solve for x
    x = 1,198,752,129/23,124
  6. Step 6: Final answer
    x = 51,840.17

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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.