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Finding the Third Proportional to 18,107.75 and 41,953.25

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Solution

The third proportional to 18,107.75 and 41,953.25 is: 97,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,107.75 : 41,953.25 = 41,953.25 : x
  2. Step 2: Convert to fraction form
    18,107.75/41,953.25 = 41,953.25/x
  3. Step 3: Cross multiply
    18,107.75x = 41,953.25 × 41,953.25
  4. Step 4: Simplify right side
    18,107.75x = 1,760,075,185.56
  5. Step 5: Solve for x
    x = 1,760,075,185.56/18,107.75
  6. Step 6: Final answer
    x = 97,200.10

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.