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Finding the Third Proportional to 40,870 and 54,922.50

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Solution

The third proportional to 40,870 and 54,922.50 is: 73,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,870 : 54,922.50 = 54,922.50 : x
  2. Step 2: Convert to fraction form
    40,870/54,922.50 = 54,922.50/x
  3. Step 3: Cross multiply
    40,870x = 54,922.50 × 54,922.50
  4. Step 4: Simplify right side
    40,870x = 3,016,481,006.25
  5. Step 5: Solve for x
    x = 3,016,481,006.25/40,870
  6. Step 6: Final answer
    x = 73,806.73

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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.