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Finding the Third Proportional to 5,760 and 9,162

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Solution

The third proportional to 5,760 and 9,162 is: 14,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760 : 9,162 = 9,162 : x
  2. Step 2: Convert to fraction form
    5,760/9,162 = 9,162/x
  3. Step 3: Cross multiply
    5,760x = 9,162 × 9,162
  4. Step 4: Simplify right side
    5,760x = 83,942,244
  5. Step 5: Solve for x
    x = 83,942,244/5,760
  6. Step 6: Final answer
    x = 14,573.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.