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Finding the Third Proportional to 1,902.25 and 3,018.38

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Solution

The third proportional to 1,902.25 and 3,018.38 is: 4,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.25 : 3,018.38 = 3,018.38 : x
  2. Step 2: Convert to fraction form
    1,902.25/3,018.38 = 3,018.38/x
  3. Step 3: Cross multiply
    1,902.25x = 3,018.38 × 3,018.38
  4. Step 4: Simplify right side
    1,902.25x = 9,110,587.64
  5. Step 5: Solve for x
    x = 9,110,587.64/1,902.25
  6. Step 6: Final answer
    x = 4,789.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.