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Finding the Third Proportional to 9,444.94 and 14,034.94

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Solution

The third proportional to 9,444.94 and 14,034.94 is: 20,855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.94 : 14,034.94 = 14,034.94 : x
  2. Step 2: Convert to fraction form
    9,444.94/14,034.94 = 14,034.94/x
  3. Step 3: Cross multiply
    9,444.94x = 14,034.94 × 14,034.94
  4. Step 4: Simplify right side
    9,444.94x = 196,979,470.63
  5. Step 5: Solve for x
    x = 196,979,470.63/9,444.94
  6. Step 6: Final answer
    x = 20,855.56

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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.