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Finding the Third Proportional to 23,022.98 and 49,588.45

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Solution

The third proportional to 23,022.98 and 49,588.45 is: 106,806.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022.98 : 49,588.45 = 49,588.45 : x
  2. Step 2: Convert to fraction form
    23,022.98/49,588.45 = 49,588.45/x
  3. Step 3: Cross multiply
    23,022.98x = 49,588.45 × 49,588.45
  4. Step 4: Simplify right side
    23,022.98x = 2,459,014,683.33
  5. Step 5: Solve for x
    x = 2,459,014,683.33/23,022.98
  6. Step 6: Final answer
    x = 106,806.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.