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Finding the Third Proportional to 994.46 and 2,134.16

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Solution

The third proportional to 994.46 and 2,134.16 is: 4,579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.46 : 2,134.16 = 2,134.16 : x
  2. Step 2: Convert to fraction form
    994.46/2,134.16 = 2,134.16/x
  3. Step 3: Cross multiply
    994.46x = 2,134.16 × 2,134.16
  4. Step 4: Simplify right side
    994.46x = 4,554,639.57
  5. Step 5: Solve for x
    x = 4,554,639.57/994.46
  6. Step 6: Final answer
    x = 4,579.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.