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Finding the Third Proportional to 24,796 and 35,493

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Solution

The third proportional to 24,796 and 35,493 is: 50,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,796 : 35,493 = 35,493 : x
  2. Step 2: Convert to fraction form
    24,796/35,493 = 35,493/x
  3. Step 3: Cross multiply
    24,796x = 35,493 × 35,493
  4. Step 4: Simplify right side
    24,796x = 1,259,753,049
  5. Step 5: Solve for x
    x = 1,259,753,049/24,796
  6. Step 6: Final answer
    x = 50,804.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.