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Finding the Third Proportional to 2,024 and 2,666

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Solution

The third proportional to 2,024 and 2,666 is: 3,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024 : 2,666 = 2,666 : x
  2. Step 2: Convert to fraction form
    2,024/2,666 = 2,666/x
  3. Step 3: Cross multiply
    2,024x = 2,666 × 2,666
  4. Step 4: Simplify right side
    2,024x = 7,107,556
  5. Step 5: Solve for x
    x = 7,107,556/2,024
  6. Step 6: Final answer
    x = 3,511.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.