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Finding the Third Proportional to 3,577 and 7,427

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Solution

The third proportional to 3,577 and 7,427 is: 15,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577 : 7,427 = 7,427 : x
  2. Step 2: Convert to fraction form
    3,577/7,427 = 7,427/x
  3. Step 3: Cross multiply
    3,577x = 7,427 × 7,427
  4. Step 4: Simplify right side
    3,577x = 55,160,329
  5. Step 5: Solve for x
    x = 55,160,329/3,577
  6. Step 6: Final answer
    x = 15,420.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.