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Finding the Third Proportional to 7,401 and 15,895

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Solution

The third proportional to 7,401 and 15,895 is: 34,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401 : 15,895 = 15,895 : x
  2. Step 2: Convert to fraction form
    7,401/15,895 = 15,895/x
  3. Step 3: Cross multiply
    7,401x = 15,895 × 15,895
  4. Step 4: Simplify right side
    7,401x = 252,651,025
  5. Step 5: Solve for x
    x = 252,651,025/7,401
  6. Step 6: Final answer
    x = 34,137.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.