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Finding the Third Proportional to 2,405.36 and 3,598.41

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Solution

The third proportional to 2,405.36 and 3,598.41 is: 5,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.36 : 3,598.41 = 3,598.41 : x
  2. Step 2: Convert to fraction form
    2,405.36/3,598.41 = 3,598.41/x
  3. Step 3: Cross multiply
    2,405.36x = 3,598.41 × 3,598.41
  4. Step 4: Simplify right side
    2,405.36x = 12,948,548.62
  5. Step 5: Solve for x
    x = 12,948,548.62/2,405.36
  6. Step 6: Final answer
    x = 5,383.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.