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Finding the Third Proportional to 1,939.36 and 4,186.22

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Solution

The third proportional to 1,939.36 and 4,186.22 is: 9,036.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.36 : 4,186.22 = 4,186.22 : x
  2. Step 2: Convert to fraction form
    1,939.36/4,186.22 = 4,186.22/x
  3. Step 3: Cross multiply
    1,939.36x = 4,186.22 × 4,186.22
  4. Step 4: Simplify right side
    1,939.36x = 17,524,427.42
  5. Step 5: Solve for x
    x = 17,524,427.42/1,939.36
  6. Step 6: Final answer
    x = 9,036.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.