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Finding the Third Proportional to 2,964.94 and 4,589.18

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Solution

The third proportional to 2,964.94 and 4,589.18 is: 7,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.94 : 4,589.18 = 4,589.18 : x
  2. Step 2: Convert to fraction form
    2,964.94/4,589.18 = 4,589.18/x
  3. Step 3: Cross multiply
    2,964.94x = 4,589.18 × 4,589.18
  4. Step 4: Simplify right side
    2,964.94x = 21,060,536.59
  5. Step 5: Solve for x
    x = 21,060,536.59/2,964.94
  6. Step 6: Final answer
    x = 7,103.18

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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.