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Finding the Third Proportional to 24,302 and 51,974

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Solution

The third proportional to 24,302 and 51,974 is: 111,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302 : 51,974 = 51,974 : x
  2. Step 2: Convert to fraction form
    24,302/51,974 = 51,974/x
  3. Step 3: Cross multiply
    24,302x = 51,974 × 51,974
  4. Step 4: Simplify right side
    24,302x = 2,701,296,676
  5. Step 5: Solve for x
    x = 2,701,296,676/24,302
  6. Step 6: Final answer
    x = 111,155.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.