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Finding the Third Proportional to 25,568.25 and 54,690.38

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Solution

The third proportional to 25,568.25 and 54,690.38 is: 116,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,568.25 : 54,690.38 = 54,690.38 : x
  2. Step 2: Convert to fraction form
    25,568.25/54,690.38 = 54,690.38/x
  3. Step 3: Cross multiply
    25,568.25x = 54,690.38 × 54,690.38
  4. Step 4: Simplify right side
    25,568.25x = 2,991,037,117.64
  5. Step 5: Solve for x
    x = 2,991,037,117.64/25,568.25
  6. Step 6: Final answer
    x = 116,982.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.