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Finding the Third Proportional to 2,178.56 and 4,706.44

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Solution

The third proportional to 2,178.56 and 4,706.44 is: 10,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.56 : 4,706.44 = 4,706.44 : x
  2. Step 2: Convert to fraction form
    2,178.56/4,706.44 = 4,706.44/x
  3. Step 3: Cross multiply
    2,178.56x = 4,706.44 × 4,706.44
  4. Step 4: Simplify right side
    2,178.56x = 22,150,553.94
  5. Step 5: Solve for x
    x = 22,150,553.94/2,178.56
  6. Step 6: Final answer
    x = 10,167.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.