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Finding the Third Proportional to 30,753 and 50,217

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Solution

The third proportional to 30,753 and 50,217 is: 82,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,753 : 50,217 = 50,217 : x
  2. Step 2: Convert to fraction form
    30,753/50,217 = 50,217/x
  3. Step 3: Cross multiply
    30,753x = 50,217 × 50,217
  4. Step 4: Simplify right side
    30,753x = 2,521,747,089
  5. Step 5: Solve for x
    x = 2,521,747,089/30,753
  6. Step 6: Final answer
    x = 82,000.04

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.