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Finding the Third Proportional to 14,006 and 21,686

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Solution

The third proportional to 14,006 and 21,686 is: 33,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006 : 21,686 = 21,686 : x
  2. Step 2: Convert to fraction form
    14,006/21,686 = 21,686/x
  3. Step 3: Cross multiply
    14,006x = 21,686 × 21,686
  4. Step 4: Simplify right side
    14,006x = 470,282,596
  5. Step 5: Solve for x
    x = 470,282,596/14,006
  6. Step 6: Final answer
    x = 33,577.22

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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.