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Finding the Third Proportional to 19,226 and 25,563

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Solution

The third proportional to 19,226 and 25,563 is: 33,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,226 : 25,563 = 25,563 : x
  2. Step 2: Convert to fraction form
    19,226/25,563 = 25,563/x
  3. Step 3: Cross multiply
    19,226x = 25,563 × 25,563
  4. Step 4: Simplify right side
    19,226x = 653,466,969
  5. Step 5: Solve for x
    x = 653,466,969/19,226
  6. Step 6: Final answer
    x = 33,988.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.