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Finding the Third Proportional to 14,201.63 and 30,754.50

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Solution

The third proportional to 14,201.63 and 30,754.50 is: 66,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.63 : 30,754.50 = 30,754.50 : x
  2. Step 2: Convert to fraction form
    14,201.63/30,754.50 = 30,754.50/x
  3. Step 3: Cross multiply
    14,201.63x = 30,754.50 × 30,754.50
  4. Step 4: Simplify right side
    14,201.63x = 945,839,270.25
  5. Step 5: Solve for x
    x = 945,839,270.25/14,201.63
  6. Step 6: Final answer
    x = 66,600.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.