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Finding the Third Proportional to 1,611.14 and 2,347.73

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Solution

The third proportional to 1,611.14 and 2,347.73 is: 3,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.14 : 2,347.73 = 2,347.73 : x
  2. Step 2: Convert to fraction form
    1,611.14/2,347.73 = 2,347.73/x
  3. Step 3: Cross multiply
    1,611.14x = 2,347.73 × 2,347.73
  4. Step 4: Simplify right side
    1,611.14x = 5,511,856.70
  5. Step 5: Solve for x
    x = 5,511,856.70/1,611.14
  6. Step 6: Final answer
    x = 3,421.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.