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Finding the Third Proportional to 24,678 and 35,171

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Solution

The third proportional to 24,678 and 35,171 is: 50,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678 : 35,171 = 35,171 : x
  2. Step 2: Convert to fraction form
    24,678/35,171 = 35,171/x
  3. Step 3: Cross multiply
    24,678x = 35,171 × 35,171
  4. Step 4: Simplify right side
    24,678x = 1,236,999,241
  5. Step 5: Solve for x
    x = 1,236,999,241/24,678
  6. Step 6: Final answer
    x = 50,125.59

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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.