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Finding the Third Proportional to 20,075.63 and 43,727.63

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Solution

The third proportional to 20,075.63 and 43,727.63 is: 95,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.63 : 43,727.63 = 43,727.63 : x
  2. Step 2: Convert to fraction form
    20,075.63/43,727.63 = 43,727.63/x
  3. Step 3: Cross multiply
    20,075.63x = 43,727.63 × 43,727.63
  4. Step 4: Simplify right side
    20,075.63x = 1,912,105,188.14
  5. Step 5: Solve for x
    x = 1,912,105,188.14/20,075.63
  6. Step 6: Final answer
    x = 95,245.11

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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.