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Finding the Third Proportional to 18,796 and 25,322

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Solution

The third proportional to 18,796 and 25,322 is: 34,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,796 : 25,322 = 25,322 : x
  2. Step 2: Convert to fraction form
    18,796/25,322 = 25,322/x
  3. Step 3: Cross multiply
    18,796x = 25,322 × 25,322
  4. Step 4: Simplify right side
    18,796x = 641,203,684
  5. Step 5: Solve for x
    x = 641,203,684/18,796
  6. Step 6: Final answer
    x = 34,113.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.