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Finding the Third Proportional to 14,028.50 and 30,243.50

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Solution

The third proportional to 14,028.50 and 30,243.50 is: 65,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,028.50 : 30,243.50 = 30,243.50 : x
  2. Step 2: Convert to fraction form
    14,028.50/30,243.50 = 30,243.50/x
  3. Step 3: Cross multiply
    14,028.50x = 30,243.50 × 30,243.50
  4. Step 4: Simplify right side
    14,028.50x = 914,669,292.25
  5. Step 5: Solve for x
    x = 914,669,292.25/14,028.50
  6. Step 6: Final answer
    x = 65,200.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.