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Finding the Third Proportional to 19,855.50 and 30,716.25

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Solution

The third proportional to 19,855.50 and 30,716.25 is: 47,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,855.50 : 30,716.25 = 30,716.25 : x
  2. Step 2: Convert to fraction form
    19,855.50/30,716.25 = 30,716.25/x
  3. Step 3: Cross multiply
    19,855.50x = 30,716.25 × 30,716.25
  4. Step 4: Simplify right side
    19,855.50x = 943,488,014.06
  5. Step 5: Solve for x
    x = 943,488,014.06/19,855.50
  6. Step 6: Final answer
    x = 47,517.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.