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Finding the Third Proportional to 995.26 and 2,163.51

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Solution

The third proportional to 995.26 and 2,163.51 is: 4,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.26 : 2,163.51 = 2,163.51 : x
  2. Step 2: Convert to fraction form
    995.26/2,163.51 = 2,163.51/x
  3. Step 3: Cross multiply
    995.26x = 2,163.51 × 2,163.51
  4. Step 4: Simplify right side
    995.26x = 4,680,761.83
  5. Step 5: Solve for x
    x = 4,680,761.83/995.26
  6. Step 6: Final answer
    x = 4,703.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.