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Finding the Third Proportional to 20,139.75 and 43,970.06

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Solution

The third proportional to 20,139.75 and 43,970.06 is: 95,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139.75 : 43,970.06 = 43,970.06 : x
  2. Step 2: Convert to fraction form
    20,139.75/43,970.06 = 43,970.06/x
  3. Step 3: Cross multiply
    20,139.75x = 43,970.06 × 43,970.06
  4. Step 4: Simplify right side
    20,139.75x = 1,933,366,396.25
  5. Step 5: Solve for x
    x = 1,933,366,396.25/20,139.75
  6. Step 6: Final answer
    x = 95,997.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.