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Finding the Third Proportional to 7,012.50 and 12,850.50

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Solution

The third proportional to 7,012.50 and 12,850.50 is: 23,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.50 : 12,850.50 = 12,850.50 : x
  2. Step 2: Convert to fraction form
    7,012.50/12,850.50 = 12,850.50/x
  3. Step 3: Cross multiply
    7,012.50x = 12,850.50 × 12,850.50
  4. Step 4: Simplify right side
    7,012.50x = 165,135,350.25
  5. Step 5: Solve for x
    x = 165,135,350.25/7,012.50
  6. Step 6: Final answer
    x = 23,548.71

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.