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Finding the Third Proportional to 7,847 and 17,273.50

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Solution

The third proportional to 7,847 and 17,273.50 is: 38,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847 : 17,273.50 = 17,273.50 : x
  2. Step 2: Convert to fraction form
    7,847/17,273.50 = 17,273.50/x
  3. Step 3: Cross multiply
    7,847x = 17,273.50 × 17,273.50
  4. Step 4: Simplify right side
    7,847x = 298,373,802.25
  5. Step 5: Solve for x
    x = 298,373,802.25/7,847
  6. Step 6: Final answer
    x = 38,023.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.