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Finding the Third Proportional to 1,394.97 and 3,003.49

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Solution

The third proportional to 1,394.97 and 3,003.49 is: 6,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.97 : 3,003.49 = 3,003.49 : x
  2. Step 2: Convert to fraction form
    1,394.97/3,003.49 = 3,003.49/x
  3. Step 3: Cross multiply
    1,394.97x = 3,003.49 × 3,003.49
  4. Step 4: Simplify right side
    1,394.97x = 9,020,937.55
  5. Step 5: Solve for x
    x = 9,020,937.55/1,394.97
  6. Step 6: Final answer
    x = 6,466.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.