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Finding the Third Proportional to 2,021 and 2,629.50

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Solution

The third proportional to 2,021 and 2,629.50 is: 3,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021 : 2,629.50 = 2,629.50 : x
  2. Step 2: Convert to fraction form
    2,021/2,629.50 = 2,629.50/x
  3. Step 3: Cross multiply
    2,021x = 2,629.50 × 2,629.50
  4. Step 4: Simplify right side
    2,021x = 6,914,270.25
  5. Step 5: Solve for x
    x = 6,914,270.25/2,021
  6. Step 6: Final answer
    x = 3,421.21

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.