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Finding the Third Proportional to 14,245.75 and 20,906.25

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Solution

The third proportional to 14,245.75 and 20,906.25 is: 30,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,245.75 : 20,906.25 = 20,906.25 : x
  2. Step 2: Convert to fraction form
    14,245.75/20,906.25 = 20,906.25/x
  3. Step 3: Cross multiply
    14,245.75x = 20,906.25 × 20,906.25
  4. Step 4: Simplify right side
    14,245.75x = 437,071,289.06
  5. Step 5: Solve for x
    x = 437,071,289.06/14,245.75
  6. Step 6: Final answer
    x = 30,680.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.