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Finding the Third Proportional to 12,664 and 16,888

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Solution

The third proportional to 12,664 and 16,888 is: 22,520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664 : 16,888 = 16,888 : x
  2. Step 2: Convert to fraction form
    12,664/16,888 = 16,888/x
  3. Step 3: Cross multiply
    12,664x = 16,888 × 16,888
  4. Step 4: Simplify right side
    12,664x = 285,204,544
  5. Step 5: Solve for x
    x = 285,204,544/12,664
  6. Step 6: Final answer
    x = 22,520.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.