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Finding the Third Proportional to 35,188 and 50,281

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Solution

The third proportional to 35,188 and 50,281 is: 71,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,188 : 50,281 = 50,281 : x
  2. Step 2: Convert to fraction form
    35,188/50,281 = 50,281/x
  3. Step 3: Cross multiply
    35,188x = 50,281 × 50,281
  4. Step 4: Simplify right side
    35,188x = 2,528,178,961
  5. Step 5: Solve for x
    x = 2,528,178,961/35,188
  6. Step 6: Final answer
    x = 71,847.76

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.