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Finding the Third Proportional to 996.94 and 2,186.25

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Solution

The third proportional to 996.94 and 2,186.25 is: 4,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.94 : 2,186.25 = 2,186.25 : x
  2. Step 2: Convert to fraction form
    996.94/2,186.25 = 2,186.25/x
  3. Step 3: Cross multiply
    996.94x = 2,186.25 × 2,186.25
  4. Step 4: Simplify right side
    996.94x = 4,779,689.06
  5. Step 5: Solve for x
    x = 4,779,689.06/996.94
  6. Step 6: Final answer
    x = 4,794.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.