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Finding the Third Proportional to 40,836 and 57,800

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Solution

The third proportional to 40,836 and 57,800 is: 81,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,836 : 57,800 = 57,800 : x
  2. Step 2: Convert to fraction form
    40,836/57,800 = 57,800/x
  3. Step 3: Cross multiply
    40,836x = 57,800 × 57,800
  4. Step 4: Simplify right side
    40,836x = 3,340,840,000
  5. Step 5: Solve for x
    x = 3,340,840,000/40,836
  6. Step 6: Final answer
    x = 81,811.15

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