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Finding the Third Proportional to 15,837 and 34,003

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Solution

The third proportional to 15,837 and 34,003 is: 73,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,837 : 34,003 = 34,003 : x
  2. Step 2: Convert to fraction form
    15,837/34,003 = 34,003/x
  3. Step 3: Cross multiply
    15,837x = 34,003 × 34,003
  4. Step 4: Simplify right side
    15,837x = 1,156,204,009
  5. Step 5: Solve for x
    x = 1,156,204,009/15,837
  6. Step 6: Final answer
    x = 73,006.50

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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.