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Finding the Third Proportional to 24,493 and 51,106

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Solution

The third proportional to 24,493 and 51,106 is: 106,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493 : 51,106 = 51,106 : x
  2. Step 2: Convert to fraction form
    24,493/51,106 = 51,106/x
  3. Step 3: Cross multiply
    24,493x = 51,106 × 51,106
  4. Step 4: Simplify right side
    24,493x = 2,611,823,236
  5. Step 5: Solve for x
    x = 2,611,823,236/24,493
  6. Step 6: Final answer
    x = 106,635.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.