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Finding the Third Proportional to 18,728 and 40,052

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Solution

The third proportional to 18,728 and 40,052 is: 85,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,728 : 40,052 = 40,052 : x
  2. Step 2: Convert to fraction form
    18,728/40,052 = 40,052/x
  3. Step 3: Cross multiply
    18,728x = 40,052 × 40,052
  4. Step 4: Simplify right side
    18,728x = 1,604,162,704
  5. Step 5: Solve for x
    x = 1,604,162,704/18,728
  6. Step 6: Final answer
    x = 85,655.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.