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Finding the Third Proportional to 1,104.47 and 2,322.56

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Solution

The third proportional to 1,104.47 and 2,322.56 is: 4,884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.47 : 2,322.56 = 2,322.56 : x
  2. Step 2: Convert to fraction form
    1,104.47/2,322.56 = 2,322.56/x
  3. Step 3: Cross multiply
    1,104.47x = 2,322.56 × 2,322.56
  4. Step 4: Simplify right side
    1,104.47x = 5,394,296.57
  5. Step 5: Solve for x
    x = 5,394,296.57/1,104.47
  6. Step 6: Final answer
    x = 4,884.06

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.