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Finding the Third Proportional to 20,219.63 and 30,754.69

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Solution

The third proportional to 20,219.63 and 30,754.69 is: 46,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219.63 : 30,754.69 = 30,754.69 : x
  2. Step 2: Convert to fraction form
    20,219.63/30,754.69 = 30,754.69/x
  3. Step 3: Cross multiply
    20,219.63x = 30,754.69 × 30,754.69
  4. Step 4: Simplify right side
    20,219.63x = 945,850,803.22
  5. Step 5: Solve for x
    x = 945,850,803.22/20,219.63
  6. Step 6: Final answer
    x = 46,778.85

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.