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Finding the Third Proportional to 2,579 and 3,401.50

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Solution

The third proportional to 2,579 and 3,401.50 is: 4,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579 : 3,401.50 = 3,401.50 : x
  2. Step 2: Convert to fraction form
    2,579/3,401.50 = 3,401.50/x
  3. Step 3: Cross multiply
    2,579x = 3,401.50 × 3,401.50
  4. Step 4: Simplify right side
    2,579x = 11,570,202.25
  5. Step 5: Solve for x
    x = 11,570,202.25/2,579
  6. Step 6: Final answer
    x = 4,486.31

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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.