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Finding the Third Proportional to 23,998 and 51,274

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Solution

The third proportional to 23,998 and 51,274 is: 109,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,998 : 51,274 = 51,274 : x
  2. Step 2: Convert to fraction form
    23,998/51,274 = 51,274/x
  3. Step 3: Cross multiply
    23,998x = 51,274 × 51,274
  4. Step 4: Simplify right side
    23,998x = 2,629,023,076
  5. Step 5: Solve for x
    x = 2,629,023,076/23,998
  6. Step 6: Final answer
    x = 109,551.76

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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.