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Finding the Third Proportional to 2,759.63 and 4,194.84

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Solution

The third proportional to 2,759.63 and 4,194.84 is: 6,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.63 : 4,194.84 = 4,194.84 : x
  2. Step 2: Convert to fraction form
    2,759.63/4,194.84 = 4,194.84/x
  3. Step 3: Cross multiply
    2,759.63x = 4,194.84 × 4,194.84
  4. Step 4: Simplify right side
    2,759.63x = 17,596,714.09
  5. Step 5: Solve for x
    x = 17,596,714.09/2,759.63
  6. Step 6: Final answer
    x = 6,376.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.