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Finding the Third Proportional to 11,664 and 16,224

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Solution

The third proportional to 11,664 and 16,224 is: 22,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664 : 16,224 = 16,224 : x
  2. Step 2: Convert to fraction form
    11,664/16,224 = 16,224/x
  3. Step 3: Cross multiply
    11,664x = 16,224 × 16,224
  4. Step 4: Simplify right side
    11,664x = 263,218,176
  5. Step 5: Solve for x
    x = 263,218,176/11,664
  6. Step 6: Final answer
    x = 22,566.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.