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Finding the Third Proportional to 25,382.25 and 55,827

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Solution

The third proportional to 25,382.25 and 55,827 is: 122,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,382.25 : 55,827 = 55,827 : x
  2. Step 2: Convert to fraction form
    25,382.25/55,827 = 55,827/x
  3. Step 3: Cross multiply
    25,382.25x = 55,827 × 55,827
  4. Step 4: Simplify right side
    25,382.25x = 3,116,653,929
  5. Step 5: Solve for x
    x = 3,116,653,929/25,382.25
  6. Step 6: Final answer
    x = 122,788.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.