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Finding the Third Proportional to 2,176 and 5,135.75

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Solution

The third proportional to 2,176 and 5,135.75 is: 12,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176 : 5,135.75 = 5,135.75 : x
  2. Step 2: Convert to fraction form
    2,176/5,135.75 = 5,135.75/x
  3. Step 3: Cross multiply
    2,176x = 5,135.75 × 5,135.75
  4. Step 4: Simplify right side
    2,176x = 26,375,928.06
  5. Step 5: Solve for x
    x = 26,375,928.06/2,176
  6. Step 6: Final answer
    x = 12,121.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.