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Finding the Third Proportional to 9,270.50 and 20,000

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Solution

The third proportional to 9,270.50 and 20,000 is: 43,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.50 : 20,000 = 20,000 : x
  2. Step 2: Convert to fraction form
    9,270.50/20,000 = 20,000/x
  3. Step 3: Cross multiply
    9,270.50x = 20,000 × 20,000
  4. Step 4: Simplify right side
    9,270.50x = 400,000,000
  5. Step 5: Solve for x
    x = 400,000,000/9,270.50
  6. Step 6: Final answer
    x = 43,147.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.