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Finding the Third Proportional to 1,609.03 and 3,380.91

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Solution

The third proportional to 1,609.03 and 3,380.91 is: 7,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.03 : 3,380.91 = 3,380.91 : x
  2. Step 2: Convert to fraction form
    1,609.03/3,380.91 = 3,380.91/x
  3. Step 3: Cross multiply
    1,609.03x = 3,380.91 × 3,380.91
  4. Step 4: Simplify right side
    1,609.03x = 11,430,527.07
  5. Step 5: Solve for x
    x = 11,430,527.07/1,609.03
  6. Step 6: Final answer
    x = 7,103.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.