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Finding the Third Proportional to 1,974.38 and 3,056.96

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Solution

The third proportional to 1,974.38 and 3,056.96 is: 4,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.38 : 3,056.96 = 3,056.96 : x
  2. Step 2: Convert to fraction form
    1,974.38/3,056.96 = 3,056.96/x
  3. Step 3: Cross multiply
    1,974.38x = 3,056.96 × 3,056.96
  4. Step 4: Simplify right side
    1,974.38x = 9,344,998.23
  5. Step 5: Solve for x
    x = 9,344,998.23/1,974.38
  6. Step 6: Final answer
    x = 4,733.14

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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.