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Finding the Third Proportional to 40,846 and 55,435

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Solution

The third proportional to 40,846 and 55,435 is: 75,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,846 : 55,435 = 55,435 : x
  2. Step 2: Convert to fraction form
    40,846/55,435 = 55,435/x
  3. Step 3: Cross multiply
    40,846x = 55,435 × 55,435
  4. Step 4: Simplify right side
    40,846x = 3,073,039,225
  5. Step 5: Solve for x
    x = 3,073,039,225/40,846
  6. Step 6: Final answer
    x = 75,234.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.