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Finding the Third Proportional to 2,274.80 and 3,056.96

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Solution

The third proportional to 2,274.80 and 3,056.96 is: 4,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.80 : 3,056.96 = 3,056.96 : x
  2. Step 2: Convert to fraction form
    2,274.80/3,056.96 = 3,056.96/x
  3. Step 3: Cross multiply
    2,274.80x = 3,056.96 × 3,056.96
  4. Step 4: Simplify right side
    2,274.80x = 9,344,998.23
  5. Step 5: Solve for x
    x = 9,344,998.23/2,274.80
  6. Step 6: Final answer
    x = 4,108.05

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.