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Finding the Third Proportional to 17,967.38 and 39,075.75

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Solution

The third proportional to 17,967.38 and 39,075.75 is: 84,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967.38 : 39,075.75 = 39,075.75 : x
  2. Step 2: Convert to fraction form
    17,967.38/39,075.75 = 39,075.75/x
  3. Step 3: Cross multiply
    17,967.38x = 39,075.75 × 39,075.75
  4. Step 4: Simplify right side
    17,967.38x = 1,526,914,238.06
  5. Step 5: Solve for x
    x = 1,526,914,238.06/17,967.38
  6. Step 6: Final answer
    x = 84,982.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.