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Finding the Third Proportional to 18,205.31 and 27,475.03

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Solution

The third proportional to 18,205.31 and 27,475.03 is: 41,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.31 : 27,475.03 = 27,475.03 : x
  2. Step 2: Convert to fraction form
    18,205.31/27,475.03 = 27,475.03/x
  3. Step 3: Cross multiply
    18,205.31x = 27,475.03 × 27,475.03
  4. Step 4: Simplify right side
    18,205.31x = 754,877,342.19
  5. Step 5: Solve for x
    x = 754,877,342.19/18,205.31
  6. Step 6: Final answer
    x = 41,464.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.