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Finding the Third Proportional to 14,664.94 and 30,943.69

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Solution

The third proportional to 14,664.94 and 30,943.69 is: 65,292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,664.94 : 30,943.69 = 30,943.69 : x
  2. Step 2: Convert to fraction form
    14,664.94/30,943.69 = 30,943.69/x
  3. Step 3: Cross multiply
    14,664.94x = 30,943.69 × 30,943.69
  4. Step 4: Simplify right side
    14,664.94x = 957,511,796.10
  5. Step 5: Solve for x
    x = 957,511,796.10/14,664.94
  6. Step 6: Final answer
    x = 65,292.59

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.