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Finding the Third Proportional to 1,604.91 and 3,505.22

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Solution

The third proportional to 1,604.91 and 3,505.22 is: 7,655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.91 : 3,505.22 = 3,505.22 : x
  2. Step 2: Convert to fraction form
    1,604.91/3,505.22 = 3,505.22/x
  3. Step 3: Cross multiply
    1,604.91x = 3,505.22 × 3,505.22
  4. Step 4: Simplify right side
    1,604.91x = 12,286,558.49
  5. Step 5: Solve for x
    x = 12,286,558.49/1,604.91
  6. Step 6: Final answer
    x = 7,655.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.