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Finding the Third Proportional to 5,845 and 12,509

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Solution

The third proportional to 5,845 and 12,509 is: 26,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845 : 12,509 = 12,509 : x
  2. Step 2: Convert to fraction form
    5,845/12,509 = 12,509/x
  3. Step 3: Cross multiply
    5,845x = 12,509 × 12,509
  4. Step 4: Simplify right side
    5,845x = 156,475,081
  5. Step 5: Solve for x
    x = 156,475,081/5,845
  6. Step 6: Final answer
    x = 26,770.76

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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.