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Finding the Third Proportional to 3,054.38 and 4,581.56

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Solution

The third proportional to 3,054.38 and 4,581.56 is: 6,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.38 : 4,581.56 = 4,581.56 : x
  2. Step 2: Convert to fraction form
    3,054.38/4,581.56 = 4,581.56/x
  3. Step 3: Cross multiply
    3,054.38x = 4,581.56 × 4,581.56
  4. Step 4: Simplify right side
    3,054.38x = 20,990,714.94
  5. Step 5: Solve for x
    x = 20,990,714.94/3,054.38
  6. Step 6: Final answer
    x = 6,872.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.