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Finding the Third Proportional to 1,369.97 and 2,054.95

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Solution

The third proportional to 1,369.97 and 2,054.95 is: 3,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.97 : 2,054.95 = 2,054.95 : x
  2. Step 2: Convert to fraction form
    1,369.97/2,054.95 = 2,054.95/x
  3. Step 3: Cross multiply
    1,369.97x = 2,054.95 × 2,054.95
  4. Step 4: Simplify right side
    1,369.97x = 4,222,832.35
  5. Step 5: Solve for x
    x = 4,222,832.35/1,369.97
  6. Step 6: Final answer
    x = 3,082.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.