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Finding the Third Proportional to 1,825.88 and 3,428.44

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Solution

The third proportional to 1,825.88 and 3,428.44 is: 6,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.88 : 3,428.44 = 3,428.44 : x
  2. Step 2: Convert to fraction form
    1,825.88/3,428.44 = 3,428.44/x
  3. Step 3: Cross multiply
    1,825.88x = 3,428.44 × 3,428.44
  4. Step 4: Simplify right side
    1,825.88x = 11,754,183.69
  5. Step 5: Solve for x
    x = 11,754,183.69/1,825.88
  6. Step 6: Final answer
    x = 6,437.56

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.