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Finding the Third Proportional to 5,934 and 12,783

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Solution

The third proportional to 5,934 and 12,783 is: 27,537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934 : 12,783 = 12,783 : x
  2. Step 2: Convert to fraction form
    5,934/12,783 = 12,783/x
  3. Step 3: Cross multiply
    5,934x = 12,783 × 12,783
  4. Step 4: Simplify right side
    5,934x = 163,405,089
  5. Step 5: Solve for x
    x = 163,405,089/5,934
  6. Step 6: Final answer
    x = 27,537.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.