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Finding the Third Proportional to 40,176 and 56,916

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Solution

The third proportional to 40,176 and 56,916 is: 80,631

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,176 : 56,916 = 56,916 : x
  2. Step 2: Convert to fraction form
    40,176/56,916 = 56,916/x
  3. Step 3: Cross multiply
    40,176x = 56,916 × 56,916
  4. Step 4: Simplify right side
    40,176x = 3,239,431,056
  5. Step 5: Solve for x
    x = 3,239,431,056/40,176
  6. Step 6: Final answer
    x = 80,631

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Why These Related Problems?

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