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Finding the Third Proportional to 20,322 and 30,951

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Solution

The third proportional to 20,322 and 30,951 is: 47,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322 : 30,951 = 30,951 : x
  2. Step 2: Convert to fraction form
    20,322/30,951 = 30,951/x
  3. Step 3: Cross multiply
    20,322x = 30,951 × 30,951
  4. Step 4: Simplify right side
    20,322x = 957,964,401
  5. Step 5: Solve for x
    x = 957,964,401/20,322
  6. Step 6: Final answer
    x = 47,139.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.