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Finding the Third Proportional to 5,906 and 8,397

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Solution

The third proportional to 5,906 and 8,397 is: 11,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906 : 8,397 = 8,397 : x
  2. Step 2: Convert to fraction form
    5,906/8,397 = 8,397/x
  3. Step 3: Cross multiply
    5,906x = 8,397 × 8,397
  4. Step 4: Simplify right side
    5,906x = 70,509,609
  5. Step 5: Solve for x
    x = 70,509,609/5,906
  6. Step 6: Final answer
    x = 11,938.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.