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Finding the Third Proportional to 14,289.75 and 21,846.38

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Solution

The third proportional to 14,289.75 and 21,846.38 is: 33,399.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.75 : 21,846.38 = 21,846.38 : x
  2. Step 2: Convert to fraction form
    14,289.75/21,846.38 = 21,846.38/x
  3. Step 3: Cross multiply
    14,289.75x = 21,846.38 × 21,846.38
  4. Step 4: Simplify right side
    14,289.75x = 477,264,100.64
  5. Step 5: Solve for x
    x = 477,264,100.64/14,289.75
  6. Step 6: Final answer
    x = 33,399.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.