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Finding the Third Proportional to 2,819.75 and 6,202

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Solution

The third proportional to 2,819.75 and 6,202 is: 13,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.75 : 6,202 = 6,202 : x
  2. Step 2: Convert to fraction form
    2,819.75/6,202 = 6,202/x
  3. Step 3: Cross multiply
    2,819.75x = 6,202 × 6,202
  4. Step 4: Simplify right side
    2,819.75x = 38,464,804
  5. Step 5: Solve for x
    x = 38,464,804/2,819.75
  6. Step 6: Final answer
    x = 13,641.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.