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Finding the Third Proportional to 24,272 and 50,620

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Solution

The third proportional to 24,272 and 50,620 is: 105,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,272 : 50,620 = 50,620 : x
  2. Step 2: Convert to fraction form
    24,272/50,620 = 50,620/x
  3. Step 3: Cross multiply
    24,272x = 50,620 × 50,620
  4. Step 4: Simplify right side
    24,272x = 2,562,384,400
  5. Step 5: Solve for x
    x = 2,562,384,400/24,272
  6. Step 6: Final answer
    x = 105,569.56

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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.