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Finding the Third Proportional to 2,180.50 and 4,709.75

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Solution

The third proportional to 2,180.50 and 4,709.75 is: 10,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.50 : 4,709.75 = 4,709.75 : x
  2. Step 2: Convert to fraction form
    2,180.50/4,709.75 = 4,709.75/x
  3. Step 3: Cross multiply
    2,180.50x = 4,709.75 × 4,709.75
  4. Step 4: Simplify right side
    2,180.50x = 22,181,745.06
  5. Step 5: Solve for x
    x = 22,181,745.06/2,180.50
  6. Step 6: Final answer
    x = 10,172.78

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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.