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Finding the Third Proportional to 1,025.16 and 2,446.03

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Solution

The third proportional to 1,025.16 and 2,446.03 is: 5,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.16 : 2,446.03 = 2,446.03 : x
  2. Step 2: Convert to fraction form
    1,025.16/2,446.03 = 2,446.03/x
  3. Step 3: Cross multiply
    1,025.16x = 2,446.03 × 2,446.03
  4. Step 4: Simplify right side
    1,025.16x = 5,983,068.88
  5. Step 5: Solve for x
    x = 5,983,068.88/1,025.16
  6. Step 6: Final answer
    x = 5,836.25

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.