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Finding the Third Proportional to 11,784 and 16,752

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Solution

The third proportional to 11,784 and 16,752 is: 23,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784 : 16,752 = 16,752 : x
  2. Step 2: Convert to fraction form
    11,784/16,752 = 16,752/x
  3. Step 3: Cross multiply
    11,784x = 16,752 × 16,752
  4. Step 4: Simplify right side
    11,784x = 280,629,504
  5. Step 5: Solve for x
    x = 280,629,504/11,784
  6. Step 6: Final answer
    x = 23,814.45

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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.