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Finding the Third Proportional to 16,020.75 and 24,023.25

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Solution

The third proportional to 16,020.75 and 24,023.25 is: 36,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,020.75 : 24,023.25 = 24,023.25 : x
  2. Step 2: Convert to fraction form
    16,020.75/24,023.25 = 24,023.25/x
  3. Step 3: Cross multiply
    16,020.75x = 24,023.25 × 24,023.25
  4. Step 4: Simplify right side
    16,020.75x = 577,116,540.56
  5. Step 5: Solve for x
    x = 577,116,540.56/16,020.75
  6. Step 6: Final answer
    x = 36,023.07

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