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Finding the Third Proportional to 4,569 and 8,162

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Solution

The third proportional to 4,569 and 8,162 is: 14,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569 : 8,162 = 8,162 : x
  2. Step 2: Convert to fraction form
    4,569/8,162 = 8,162/x
  3. Step 3: Cross multiply
    4,569x = 8,162 × 8,162
  4. Step 4: Simplify right side
    4,569x = 66,618,244
  5. Step 5: Solve for x
    x = 66,618,244/4,569
  6. Step 6: Final answer
    x = 14,580.49

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.