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Finding the Third Proportional to 41,812 and 63,692

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Solution

The third proportional to 41,812 and 63,692 is: 97,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,812 : 63,692 = 63,692 : x
  2. Step 2: Convert to fraction form
    41,812/63,692 = 63,692/x
  3. Step 3: Cross multiply
    41,812x = 63,692 × 63,692
  4. Step 4: Simplify right side
    41,812x = 4,056,670,864
  5. Step 5: Solve for x
    x = 4,056,670,864/41,812
  6. Step 6: Final answer
    x = 97,021.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.