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Finding the Third Proportional to 24,194 and 34,671

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Solution

The third proportional to 24,194 and 34,671 is: 49,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194 : 34,671 = 34,671 : x
  2. Step 2: Convert to fraction form
    24,194/34,671 = 34,671/x
  3. Step 3: Cross multiply
    24,194x = 34,671 × 34,671
  4. Step 4: Simplify right side
    24,194x = 1,202,078,241
  5. Step 5: Solve for x
    x = 1,202,078,241/24,194
  6. Step 6: Final answer
    x = 49,684.97

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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.