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Finding the Third Proportional to 17,014 and 36,610

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Solution

The third proportional to 17,014 and 36,610 is: 78,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,014 : 36,610 = 36,610 : x
  2. Step 2: Convert to fraction form
    17,014/36,610 = 36,610/x
  3. Step 3: Cross multiply
    17,014x = 36,610 × 36,610
  4. Step 4: Simplify right side
    17,014x = 1,340,292,100
  5. Step 5: Solve for x
    x = 1,340,292,100/17,014
  6. Step 6: Final answer
    x = 78,775.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.