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Finding the Third Proportional to 14,006 and 21,684

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Solution

The third proportional to 14,006 and 21,684 is: 33,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006 : 21,684 = 21,684 : x
  2. Step 2: Convert to fraction form
    14,006/21,684 = 21,684/x
  3. Step 3: Cross multiply
    14,006x = 21,684 × 21,684
  4. Step 4: Simplify right side
    14,006x = 470,195,856
  5. Step 5: Solve for x
    x = 470,195,856/14,006
  6. Step 6: Final answer
    x = 33,571.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.