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Finding the Third Proportional to 7,028.73 and 14,847.68

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Solution

The third proportional to 7,028.73 and 14,847.68 is: 31,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.73 : 14,847.68 = 14,847.68 : x
  2. Step 2: Convert to fraction form
    7,028.73/14,847.68 = 14,847.68/x
  3. Step 3: Cross multiply
    7,028.73x = 14,847.68 × 14,847.68
  4. Step 4: Simplify right side
    7,028.73x = 220,453,592.10
  5. Step 5: Solve for x
    x = 220,453,592.10/7,028.73
  6. Step 6: Final answer
    x = 31,364.65

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.