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Finding the Third Proportional to 1,546.31 and 3,360.94

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Solution

The third proportional to 1,546.31 and 3,360.94 is: 7,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.31 : 3,360.94 = 3,360.94 : x
  2. Step 2: Convert to fraction form
    1,546.31/3,360.94 = 3,360.94/x
  3. Step 3: Cross multiply
    1,546.31x = 3,360.94 × 3,360.94
  4. Step 4: Simplify right side
    1,546.31x = 11,295,900.88
  5. Step 5: Solve for x
    x = 11,295,900.88/1,546.31
  6. Step 6: Final answer
    x = 7,305.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.