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Finding the Third Proportional to 2,286.98 and 4,994.16

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Solution

The third proportional to 2,286.98 and 4,994.16 is: 10,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.98 : 4,994.16 = 4,994.16 : x
  2. Step 2: Convert to fraction form
    2,286.98/4,994.16 = 4,994.16/x
  3. Step 3: Cross multiply
    2,286.98x = 4,994.16 × 4,994.16
  4. Step 4: Simplify right side
    2,286.98x = 24,941,596.65
  5. Step 5: Solve for x
    x = 24,941,596.65/2,286.98
  6. Step 6: Final answer
    x = 10,905.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.