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Finding the Third Proportional to 7,954 and 17,014

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Solution

The third proportional to 7,954 and 17,014 is: 36,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954 : 17,014 = 17,014 : x
  2. Step 2: Convert to fraction form
    7,954/17,014 = 17,014/x
  3. Step 3: Cross multiply
    7,954x = 17,014 × 17,014
  4. Step 4: Simplify right side
    7,954x = 289,476,196
  5. Step 5: Solve for x
    x = 289,476,196/7,954
  6. Step 6: Final answer
    x = 36,393.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.