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Finding the Third Proportional to 2,576 and 4,069

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Solution

The third proportional to 2,576 and 4,069 is: 6,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576 : 4,069 = 4,069 : x
  2. Step 2: Convert to fraction form
    2,576/4,069 = 4,069/x
  3. Step 3: Cross multiply
    2,576x = 4,069 × 4,069
  4. Step 4: Simplify right side
    2,576x = 16,556,761
  5. Step 5: Solve for x
    x = 16,556,761/2,576
  6. Step 6: Final answer
    x = 6,427.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.