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Finding the Third Proportional to 19,797 and 42,023.25

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Solution

The third proportional to 19,797 and 42,023.25 is: 89,203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797 : 42,023.25 = 42,023.25 : x
  2. Step 2: Convert to fraction form
    19,797/42,023.25 = 42,023.25/x
  3. Step 3: Cross multiply
    19,797x = 42,023.25 × 42,023.25
  4. Step 4: Simplify right side
    19,797x = 1,765,953,540.56
  5. Step 5: Solve for x
    x = 1,765,953,540.56/19,797
  6. Step 6: Final answer
    x = 89,203.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.