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Finding the Third Proportional to 18,140.63 and 27,731.25

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Solution

The third proportional to 18,140.63 and 27,731.25 is: 42,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140.63 : 27,731.25 = 27,731.25 : x
  2. Step 2: Convert to fraction form
    18,140.63/27,731.25 = 27,731.25/x
  3. Step 3: Cross multiply
    18,140.63x = 27,731.25 × 27,731.25
  4. Step 4: Simplify right side
    18,140.63x = 769,022,226.56
  5. Step 5: Solve for x
    x = 769,022,226.56/18,140.63
  6. Step 6: Final answer
    x = 42,392.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.