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Finding the Third Proportional to 24,351 and 50,574

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Solution

The third proportional to 24,351 and 50,574 is: 105,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,351 : 50,574 = 50,574 : x
  2. Step 2: Convert to fraction form
    24,351/50,574 = 50,574/x
  3. Step 3: Cross multiply
    24,351x = 50,574 × 50,574
  4. Step 4: Simplify right side
    24,351x = 2,557,729,476
  5. Step 5: Solve for x
    x = 2,557,729,476/24,351
  6. Step 6: Final answer
    x = 105,035.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.