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Finding the Third Proportional to 1,394.25 and 3,015.38

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Solution

The third proportional to 1,394.25 and 3,015.38 is: 6,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.25 : 3,015.38 = 3,015.38 : x
  2. Step 2: Convert to fraction form
    1,394.25/3,015.38 = 3,015.38/x
  3. Step 3: Cross multiply
    1,394.25x = 3,015.38 × 3,015.38
  4. Step 4: Simplify right side
    1,394.25x = 9,092,486.39
  5. Step 5: Solve for x
    x = 9,092,486.39/1,394.25
  6. Step 6: Final answer
    x = 6,521.42

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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.