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Finding the Third Proportional to 20,007 and 30,982.50

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Solution

The third proportional to 20,007 and 30,982.50 is: 47,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,007 : 30,982.50 = 30,982.50 : x
  2. Step 2: Convert to fraction form
    20,007/30,982.50 = 30,982.50/x
  3. Step 3: Cross multiply
    20,007x = 30,982.50 × 30,982.50
  4. Step 4: Simplify right side
    20,007x = 959,915,306.25
  5. Step 5: Solve for x
    x = 959,915,306.25/20,007
  6. Step 6: Final answer
    x = 47,978.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.