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Finding the Third Proportional to 11,784 and 16,584

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Solution

The third proportional to 11,784 and 16,584 is: 23,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784 : 16,584 = 16,584 : x
  2. Step 2: Convert to fraction form
    11,784/16,584 = 16,584/x
  3. Step 3: Cross multiply
    11,784x = 16,584 × 16,584
  4. Step 4: Simplify right side
    11,784x = 275,029,056
  5. Step 5: Solve for x
    x = 275,029,056/11,784
  6. Step 6: Final answer
    x = 23,339.19

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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.