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Finding the Third Proportional to 1,104.73 and 2,382.46

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Solution

The third proportional to 1,104.73 and 2,382.46 is: 5,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.73 : 2,382.46 = 2,382.46 : x
  2. Step 2: Convert to fraction form
    1,104.73/2,382.46 = 2,382.46/x
  3. Step 3: Cross multiply
    1,104.73x = 2,382.46 × 2,382.46
  4. Step 4: Simplify right side
    1,104.73x = 5,676,115.47
  5. Step 5: Solve for x
    x = 5,676,115.47/1,104.73
  6. Step 6: Final answer
    x = 5,138.00

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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.