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Finding the Third Proportional to 1,619.06 and 3,496.59

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Solution

The third proportional to 1,619.06 and 3,496.59 is: 7,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.06 : 3,496.59 = 3,496.59 : x
  2. Step 2: Convert to fraction form
    1,619.06/3,496.59 = 3,496.59/x
  3. Step 3: Cross multiply
    1,619.06x = 3,496.59 × 3,496.59
  4. Step 4: Simplify right side
    1,619.06x = 12,226,167.85
  5. Step 5: Solve for x
    x = 12,226,167.85/1,619.06
  6. Step 6: Final answer
    x = 7,551.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.