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Finding the Third Proportional to 13,189.50 and 27,850.50

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Solution

The third proportional to 13,189.50 and 27,850.50 is: 58,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.50 : 27,850.50 = 27,850.50 : x
  2. Step 2: Convert to fraction form
    13,189.50/27,850.50 = 27,850.50/x
  3. Step 3: Cross multiply
    13,189.50x = 27,850.50 × 27,850.50
  4. Step 4: Simplify right side
    13,189.50x = 775,650,350.25
  5. Step 5: Solve for x
    x = 775,650,350.25/13,189.50
  6. Step 6: Final answer
    x = 58,808.17

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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.