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Finding the Third Proportional to 23,183.25 and 49,646.25

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Solution

The third proportional to 23,183.25 and 49,646.25 is: 106,315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,183.25 : 49,646.25 = 49,646.25 : x
  2. Step 2: Convert to fraction form
    23,183.25/49,646.25 = 49,646.25/x
  3. Step 3: Cross multiply
    23,183.25x = 49,646.25 × 49,646.25
  4. Step 4: Simplify right side
    23,183.25x = 2,464,750,139.06
  5. Step 5: Solve for x
    x = 2,464,750,139.06/23,183.25
  6. Step 6: Final answer
    x = 106,315.99

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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.