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Finding the Third Proportional to 24,330 and 34,467

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Solution

The third proportional to 24,330 and 34,467 is: 48,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,330 : 34,467 = 34,467 : x
  2. Step 2: Convert to fraction form
    24,330/34,467 = 34,467/x
  3. Step 3: Cross multiply
    24,330x = 34,467 × 34,467
  4. Step 4: Simplify right side
    24,330x = 1,187,974,089
  5. Step 5: Solve for x
    x = 1,187,974,089/24,330
  6. Step 6: Final answer
    x = 48,827.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.