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Finding the Third Proportional to 30,767 and 40,401

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Solution

The third proportional to 30,767 and 40,401 is: 53,051.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,767 : 40,401 = 40,401 : x
  2. Step 2: Convert to fraction form
    30,767/40,401 = 40,401/x
  3. Step 3: Cross multiply
    30,767x = 40,401 × 40,401
  4. Step 4: Simplify right side
    30,767x = 1,632,240,801
  5. Step 5: Solve for x
    x = 1,632,240,801/30,767
  6. Step 6: Final answer
    x = 53,051.67

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.