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Finding the Third Proportional to 3,192.94 and 4,955.44

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Solution

The third proportional to 3,192.94 and 4,955.44 is: 7,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.94 : 4,955.44 = 4,955.44 : x
  2. Step 2: Convert to fraction form
    3,192.94/4,955.44 = 4,955.44/x
  3. Step 3: Cross multiply
    3,192.94x = 4,955.44 × 4,955.44
  4. Step 4: Simplify right side
    3,192.94x = 24,556,360.82
  5. Step 5: Solve for x
    x = 24,556,360.82/3,192.94
  6. Step 6: Final answer
    x = 7,690.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.