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Finding the Third Proportional to 5,906 and 8,328

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Solution

The third proportional to 5,906 and 8,328 is: 11,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906 : 8,328 = 8,328 : x
  2. Step 2: Convert to fraction form
    5,906/8,328 = 8,328/x
  3. Step 3: Cross multiply
    5,906x = 8,328 × 8,328
  4. Step 4: Simplify right side
    5,906x = 69,355,584
  5. Step 5: Solve for x
    x = 69,355,584/5,906
  6. Step 6: Final answer
    x = 11,743.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.