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Finding the Third Proportional to 1,609.03 and 3,529.41

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Solution

The third proportional to 1,609.03 and 3,529.41 is: 7,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.03 : 3,529.41 = 3,529.41 : x
  2. Step 2: Convert to fraction form
    1,609.03/3,529.41 = 3,529.41/x
  3. Step 3: Cross multiply
    1,609.03x = 3,529.41 × 3,529.41
  4. Step 4: Simplify right side
    1,609.03x = 12,456,708.48
  5. Step 5: Solve for x
    x = 12,456,708.48/1,609.03
  6. Step 6: Final answer
    x = 7,741.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.