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Finding the Third Proportional to 23,711 and 51,364

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Solution

The third proportional to 23,711 and 51,364 is: 111,267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,711 : 51,364 = 51,364 : x
  2. Step 2: Convert to fraction form
    23,711/51,364 = 51,364/x
  3. Step 3: Cross multiply
    23,711x = 51,364 × 51,364
  4. Step 4: Simplify right side
    23,711x = 2,638,260,496
  5. Step 5: Solve for x
    x = 2,638,260,496/23,711
  6. Step 6: Final answer
    x = 111,267.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.