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Finding the Third Proportional to 5,784 and 11,934

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Solution

The third proportional to 5,784 and 11,934 is: 24,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784 : 11,934 = 11,934 : x
  2. Step 2: Convert to fraction form
    5,784/11,934 = 11,934/x
  3. Step 3: Cross multiply
    5,784x = 11,934 × 11,934
  4. Step 4: Simplify right side
    5,784x = 142,420,356
  5. Step 5: Solve for x
    x = 142,420,356/5,784
  6. Step 6: Final answer
    x = 24,623.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.