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Finding the Third Proportional to 9,847 and 15,205

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Solution

The third proportional to 9,847 and 15,205 is: 23,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847 : 15,205 = 15,205 : x
  2. Step 2: Convert to fraction form
    9,847/15,205 = 15,205/x
  3. Step 3: Cross multiply
    9,847x = 15,205 × 15,205
  4. Step 4: Simplify right side
    9,847x = 231,192,025
  5. Step 5: Solve for x
    x = 231,192,025/9,847
  6. Step 6: Final answer
    x = 23,478.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.