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Finding the Third Proportional to 39,652 and 56,380

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Solution

The third proportional to 39,652 and 56,380 is: 80,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,652 : 56,380 = 56,380 : x
  2. Step 2: Convert to fraction form
    39,652/56,380 = 56,380/x
  3. Step 3: Cross multiply
    39,652x = 56,380 × 56,380
  4. Step 4: Simplify right side
    39,652x = 3,178,704,400
  5. Step 5: Solve for x
    x = 3,178,704,400/39,652
  6. Step 6: Final answer
    x = 80,165.05

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.