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Finding the Third Proportional to 2,019 and 4,195.50

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Solution

The third proportional to 2,019 and 4,195.50 is: 8,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019 : 4,195.50 = 4,195.50 : x
  2. Step 2: Convert to fraction form
    2,019/4,195.50 = 4,195.50/x
  3. Step 3: Cross multiply
    2,019x = 4,195.50 × 4,195.50
  4. Step 4: Simplify right side
    2,019x = 17,602,220.25
  5. Step 5: Solve for x
    x = 17,602,220.25/2,019
  6. Step 6: Final answer
    x = 8,718.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.