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Finding the Third Proportional to 996.36 and 2,182.15

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Solution

The third proportional to 996.36 and 2,182.15 is: 4,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.36 : 2,182.15 = 2,182.15 : x
  2. Step 2: Convert to fraction form
    996.36/2,182.15 = 2,182.15/x
  3. Step 3: Cross multiply
    996.36x = 2,182.15 × 2,182.15
  4. Step 4: Simplify right side
    996.36x = 4,761,771.80
  5. Step 5: Solve for x
    x = 4,761,771.80/996.36
  6. Step 6: Final answer
    x = 4,779.15

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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.