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Finding the Third Proportional to 5,764 and 13,162

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Solution

The third proportional to 5,764 and 13,162 is: 30,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764 : 13,162 = 13,162 : x
  2. Step 2: Convert to fraction form
    5,764/13,162 = 13,162/x
  3. Step 3: Cross multiply
    5,764x = 13,162 × 13,162
  4. Step 4: Simplify right side
    5,764x = 173,238,244
  5. Step 5: Solve for x
    x = 173,238,244/5,764
  6. Step 6: Final answer
    x = 30,055.21

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.