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Finding the Third Proportional to 20,122 and 43,983.50

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Solution

The third proportional to 20,122 and 43,983.50 is: 96,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122 : 43,983.50 = 43,983.50 : x
  2. Step 2: Convert to fraction form
    20,122/43,983.50 = 43,983.50/x
  3. Step 3: Cross multiply
    20,122x = 43,983.50 × 43,983.50
  4. Step 4: Simplify right side
    20,122x = 1,934,548,272.25
  5. Step 5: Solve for x
    x = 1,934,548,272.25/20,122
  6. Step 6: Final answer
    x = 96,140.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.