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Finding the Third Proportional to 23,804 and 51,981

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Solution

The third proportional to 23,804 and 51,981 is: 113,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804 : 51,981 = 51,981 : x
  2. Step 2: Convert to fraction form
    23,804/51,981 = 51,981/x
  3. Step 3: Cross multiply
    23,804x = 51,981 × 51,981
  4. Step 4: Simplify right side
    23,804x = 2,702,024,361
  5. Step 5: Solve for x
    x = 2,702,024,361/23,804
  6. Step 6: Final answer
    x = 113,511.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.