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Finding the Third Proportional to 9,504.94 and 14,179.56

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Solution

The third proportional to 9,504.94 and 14,179.56 is: 21,153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.94 : 14,179.56 = 14,179.56 : x
  2. Step 2: Convert to fraction form
    9,504.94/14,179.56 = 14,179.56/x
  3. Step 3: Cross multiply
    9,504.94x = 14,179.56 × 14,179.56
  4. Step 4: Simplify right side
    9,504.94x = 201,059,992.69
  5. Step 5: Solve for x
    x = 201,059,992.69/9,504.94
  6. Step 6: Final answer
    x = 21,153.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.