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Finding the Third Proportional to 9,595 and 20,419

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Solution

The third proportional to 9,595 and 20,419 is: 43,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595 : 20,419 = 20,419 : x
  2. Step 2: Convert to fraction form
    9,595/20,419 = 20,419/x
  3. Step 3: Cross multiply
    9,595x = 20,419 × 20,419
  4. Step 4: Simplify right side
    9,595x = 416,935,561
  5. Step 5: Solve for x
    x = 416,935,561/9,595
  6. Step 6: Final answer
    x = 43,453.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.