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Finding the Third Proportional to 1,900.97 and 2,675.53

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Solution

The third proportional to 1,900.97 and 2,675.53 is: 3,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.97 : 2,675.53 = 2,675.53 : x
  2. Step 2: Convert to fraction form
    1,900.97/2,675.53 = 2,675.53/x
  3. Step 3: Cross multiply
    1,900.97x = 2,675.53 × 2,675.53
  4. Step 4: Simplify right side
    1,900.97x = 7,158,467.47
  5. Step 5: Solve for x
    x = 7,158,467.47/1,900.97
  6. Step 6: Final answer
    x = 3,765.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.