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Finding the Third Proportional to 2,409.12 and 3,623.17

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Solution

The third proportional to 2,409.12 and 3,623.17 is: 5,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.12 : 3,623.17 = 3,623.17 : x
  2. Step 2: Convert to fraction form
    2,409.12/3,623.17 = 3,623.17/x
  3. Step 3: Cross multiply
    2,409.12x = 3,623.17 × 3,623.17
  4. Step 4: Simplify right side
    2,409.12x = 13,127,346.13
  5. Step 5: Solve for x
    x = 13,127,346.13/2,409.12
  6. Step 6: Final answer
    x = 5,449.03

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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.