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Finding the Third Proportional to 25,428.94 and 55,382.06

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Solution

The third proportional to 25,428.94 and 55,382.06 is: 120,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,428.94 : 55,382.06 = 55,382.06 : x
  2. Step 2: Convert to fraction form
    25,428.94/55,382.06 = 55,382.06/x
  3. Step 3: Cross multiply
    25,428.94x = 55,382.06 × 55,382.06
  4. Step 4: Simplify right side
    25,428.94x = 3,067,172,846.75
  5. Step 5: Solve for x
    x = 3,067,172,846.75/25,428.94
  6. Step 6: Final answer
    x = 120,617.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.