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Finding the Third Proportional to 31,401 and 48,195

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Solution

The third proportional to 31,401 and 48,195 is: 73,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,401 : 48,195 = 48,195 : x
  2. Step 2: Convert to fraction form
    31,401/48,195 = 48,195/x
  3. Step 3: Cross multiply
    31,401x = 48,195 × 48,195
  4. Step 4: Simplify right side
    31,401x = 2,322,758,025
  5. Step 5: Solve for x
    x = 2,322,758,025/31,401
  6. Step 6: Final answer
    x = 73,970.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.