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Finding the Third Proportional to 30,696 and 47,401

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Solution

The third proportional to 30,696 and 47,401 is: 73,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696 : 47,401 = 47,401 : x
  2. Step 2: Convert to fraction form
    30,696/47,401 = 47,401/x
  3. Step 3: Cross multiply
    30,696x = 47,401 × 47,401
  4. Step 4: Simplify right side
    30,696x = 2,246,854,801
  5. Step 5: Solve for x
    x = 2,246,854,801/30,696
  6. Step 6: Final answer
    x = 73,196.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.