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Finding the Third Proportional to 1,194.25 and 1,844.63

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Solution

The third proportional to 1,194.25 and 1,844.63 is: 2,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.25 : 1,844.63 = 1,844.63 : x
  2. Step 2: Convert to fraction form
    1,194.25/1,844.63 = 1,844.63/x
  3. Step 3: Cross multiply
    1,194.25x = 1,844.63 × 1,844.63
  4. Step 4: Simplify right side
    1,194.25x = 3,402,641.39
  5. Step 5: Solve for x
    x = 3,402,641.39/1,194.25
  6. Step 6: Final answer
    x = 2,849.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.