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Finding the Third Proportional to 34,002 and 51,003

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Solution

The third proportional to 34,002 and 51,003 is: 76,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,002 : 51,003 = 51,003 : x
  2. Step 2: Convert to fraction form
    34,002/51,003 = 51,003/x
  3. Step 3: Cross multiply
    34,002x = 51,003 × 51,003
  4. Step 4: Simplify right side
    34,002x = 2,601,306,009
  5. Step 5: Solve for x
    x = 2,601,306,009/34,002
  6. Step 6: Final answer
    x = 76,504.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.