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Finding the Third Proportional to 12,208 and 16,664

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Solution

The third proportional to 12,208 and 16,664 is: 22,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208 : 16,664 = 16,664 : x
  2. Step 2: Convert to fraction form
    12,208/16,664 = 16,664/x
  3. Step 3: Cross multiply
    12,208x = 16,664 × 16,664
  4. Step 4: Simplify right side
    12,208x = 277,688,896
  5. Step 5: Solve for x
    x = 277,688,896/12,208
  6. Step 6: Final answer
    x = 22,746.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.