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Finding the Third Proportional to 2,753.50 and 5,891

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Solution

The third proportional to 2,753.50 and 5,891 is: 12,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.50 : 5,891 = 5,891 : x
  2. Step 2: Convert to fraction form
    2,753.50/5,891 = 5,891/x
  3. Step 3: Cross multiply
    2,753.50x = 5,891 × 5,891
  4. Step 4: Simplify right side
    2,753.50x = 34,703,881
  5. Step 5: Solve for x
    x = 34,703,881/2,753.50
  6. Step 6: Final answer
    x = 12,603.55

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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.