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Finding the Third Proportional to 20,401 and 31,206

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Solution

The third proportional to 20,401 and 31,206 is: 47,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,401 : 31,206 = 31,206 : x
  2. Step 2: Convert to fraction form
    20,401/31,206 = 31,206/x
  3. Step 3: Cross multiply
    20,401x = 31,206 × 31,206
  4. Step 4: Simplify right side
    20,401x = 973,814,436
  5. Step 5: Solve for x
    x = 973,814,436/20,401
  6. Step 6: Final answer
    x = 47,733.66

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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.