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Finding the Third Proportional to 25,231.25 and 54,830.50

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Solution

The third proportional to 25,231.25 and 54,830.50 is: 119,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,231.25 : 54,830.50 = 54,830.50 : x
  2. Step 2: Convert to fraction form
    25,231.25/54,830.50 = 54,830.50/x
  3. Step 3: Cross multiply
    25,231.25x = 54,830.50 × 54,830.50
  4. Step 4: Simplify right side
    25,231.25x = 3,006,383,730.25
  5. Step 5: Solve for x
    x = 3,006,383,730.25/25,231.25
  6. Step 6: Final answer
    x = 119,153.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.