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Finding the Third Proportional to 7,009 and 14,668

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Solution

The third proportional to 7,009 and 14,668 is: 30,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009 : 14,668 = 14,668 : x
  2. Step 2: Convert to fraction form
    7,009/14,668 = 14,668/x
  3. Step 3: Cross multiply
    7,009x = 14,668 × 14,668
  4. Step 4: Simplify right side
    7,009x = 215,150,224
  5. Step 5: Solve for x
    x = 215,150,224/7,009
  6. Step 6: Final answer
    x = 30,696.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.