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Finding the Third Proportional to 1,754.25 and 3,815.44

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Solution

The third proportional to 1,754.25 and 3,815.44 is: 8,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.25 : 3,815.44 = 3,815.44 : x
  2. Step 2: Convert to fraction form
    1,754.25/3,815.44 = 3,815.44/x
  3. Step 3: Cross multiply
    1,754.25x = 3,815.44 × 3,815.44
  4. Step 4: Simplify right side
    1,754.25x = 14,557,563.32
  5. Step 5: Solve for x
    x = 14,557,563.32/1,754.25
  6. Step 6: Final answer
    x = 8,298.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.