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Finding the Third Proportional to 20,157.75 and 30,219.75

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Solution

The third proportional to 20,157.75 and 30,219.75 is: 45,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.75 : 30,219.75 = 30,219.75 : x
  2. Step 2: Convert to fraction form
    20,157.75/30,219.75 = 30,219.75/x
  3. Step 3: Cross multiply
    20,157.75x = 30,219.75 × 30,219.75
  4. Step 4: Simplify right side
    20,157.75x = 913,233,290.06
  5. Step 5: Solve for x
    x = 913,233,290.06/20,157.75
  6. Step 6: Final answer
    x = 45,304.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.