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Finding the Third Proportional to 24,236 and 34,672

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Solution

The third proportional to 24,236 and 34,672 is: 49,601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,236 : 34,672 = 34,672 : x
  2. Step 2: Convert to fraction form
    24,236/34,672 = 34,672/x
  3. Step 3: Cross multiply
    24,236x = 34,672 × 34,672
  4. Step 4: Simplify right side
    24,236x = 1,202,147,584
  5. Step 5: Solve for x
    x = 1,202,147,584/24,236
  6. Step 6: Final answer
    x = 49,601.73

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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.