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Finding the Third Proportional to 8,029 and 16,969

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Solution

The third proportional to 8,029 and 16,969 is: 35,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029 : 16,969 = 16,969 : x
  2. Step 2: Convert to fraction form
    8,029/16,969 = 16,969/x
  3. Step 3: Cross multiply
    8,029x = 16,969 × 16,969
  4. Step 4: Simplify right side
    8,029x = 287,946,961
  5. Step 5: Solve for x
    x = 287,946,961/8,029
  6. Step 6: Final answer
    x = 35,863.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.