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Finding the Third Proportional to 40,647 and 54,367.50

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Solution

The third proportional to 40,647 and 54,367.50 is: 72,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,647 : 54,367.50 = 54,367.50 : x
  2. Step 2: Convert to fraction form
    40,647/54,367.50 = 54,367.50/x
  3. Step 3: Cross multiply
    40,647x = 54,367.50 × 54,367.50
  4. Step 4: Simplify right side
    40,647x = 2,955,825,056.25
  5. Step 5: Solve for x
    x = 2,955,825,056.25/40,647
  6. Step 6: Final answer
    x = 72,719.39

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.