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Finding the Third Proportional to 17,075.81 and 37,278.56

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Solution

The third proportional to 17,075.81 and 37,278.56 is: 81,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,075.81 : 37,278.56 = 37,278.56 : x
  2. Step 2: Convert to fraction form
    17,075.81/37,278.56 = 37,278.56/x
  3. Step 3: Cross multiply
    17,075.81x = 37,278.56 × 37,278.56
  4. Step 4: Simplify right side
    17,075.81x = 1,389,691,222.07
  5. Step 5: Solve for x
    x = 1,389,691,222.07/17,075.81
  6. Step 6: Final answer
    x = 81,383.61

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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.