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Finding the Third Proportional to 1,104.64 and 2,382.21

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Solution

The third proportional to 1,104.64 and 2,382.21 is: 5,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.64 : 2,382.21 = 2,382.21 : x
  2. Step 2: Convert to fraction form
    1,104.64/2,382.21 = 2,382.21/x
  3. Step 3: Cross multiply
    1,104.64x = 2,382.21 × 2,382.21
  4. Step 4: Simplify right side
    1,104.64x = 5,674,928.95
  5. Step 5: Solve for x
    x = 5,674,928.95/1,104.64
  6. Step 6: Final answer
    x = 5,137.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.