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Finding the Third Proportional to 35,697.75 and 50,204.25

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Solution

The third proportional to 35,697.75 and 50,204.25 is: 70,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697.75 : 50,204.25 = 50,204.25 : x
  2. Step 2: Convert to fraction form
    35,697.75/50,204.25 = 50,204.25/x
  3. Step 3: Cross multiply
    35,697.75x = 50,204.25 × 50,204.25
  4. Step 4: Simplify right side
    35,697.75x = 2,520,466,718.06
  5. Step 5: Solve for x
    x = 2,520,466,718.06/35,697.75
  6. Step 6: Final answer
    x = 70,605.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.