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Finding the Third Proportional to 40,805 and 57,764.50

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Solution

The third proportional to 40,805 and 57,764.50 is: 81,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,805 : 57,764.50 = 57,764.50 : x
  2. Step 2: Convert to fraction form
    40,805/57,764.50 = 57,764.50/x
  3. Step 3: Cross multiply
    40,805x = 57,764.50 × 57,764.50
  4. Step 4: Simplify right side
    40,805x = 3,336,737,460.25
  5. Step 5: Solve for x
    x = 3,336,737,460.25/40,805
  6. Step 6: Final answer
    x = 81,772.76

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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.