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Finding the Third Proportional to 24,811 and 35,371

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Solution

The third proportional to 24,811 and 35,371 is: 50,425.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811 : 35,371 = 35,371 : x
  2. Step 2: Convert to fraction form
    24,811/35,371 = 35,371/x
  3. Step 3: Cross multiply
    24,811x = 35,371 × 35,371
  4. Step 4: Simplify right side
    24,811x = 1,251,107,641
  5. Step 5: Solve for x
    x = 1,251,107,641/24,811
  6. Step 6: Final answer
    x = 50,425.52

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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.