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Finding the Third Proportional to 35,074 and 52,975

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Solution

The third proportional to 35,074 and 52,975 is: 80,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,074 : 52,975 = 52,975 : x
  2. Step 2: Convert to fraction form
    35,074/52,975 = 52,975/x
  3. Step 3: Cross multiply
    35,074x = 52,975 × 52,975
  4. Step 4: Simplify right side
    35,074x = 2,806,350,625
  5. Step 5: Solve for x
    x = 2,806,350,625/35,074
  6. Step 6: Final answer
    x = 80,012.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.