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Finding the Third Proportional to 12,664 and 26,144

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Solution

The third proportional to 12,664 and 26,144 is: 53,972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664 : 26,144 = 26,144 : x
  2. Step 2: Convert to fraction form
    12,664/26,144 = 26,144/x
  3. Step 3: Cross multiply
    12,664x = 26,144 × 26,144
  4. Step 4: Simplify right side
    12,664x = 683,508,736
  5. Step 5: Solve for x
    x = 683,508,736/12,664
  6. Step 6: Final answer
    x = 53,972.58

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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.