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Finding the Third Proportional to 39,107 and 56,041

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Solution

The third proportional to 39,107 and 56,041 is: 80,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,107 : 56,041 = 56,041 : x
  2. Step 2: Convert to fraction form
    39,107/56,041 = 56,041/x
  3. Step 3: Cross multiply
    39,107x = 56,041 × 56,041
  4. Step 4: Simplify right side
    39,107x = 3,140,593,681
  5. Step 5: Solve for x
    x = 3,140,593,681/39,107
  6. Step 6: Final answer
    x = 80,307.71

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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.