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Finding the Third Proportional to 37,438.88 and 81,438.38

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Solution

The third proportional to 37,438.88 and 81,438.38 is: 177,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,438.88 : 81,438.38 = 81,438.38 : x
  2. Step 2: Convert to fraction form
    37,438.88/81,438.38 = 81,438.38/x
  3. Step 3: Cross multiply
    37,438.88x = 81,438.38 × 81,438.38
  4. Step 4: Simplify right side
    37,438.88x = 6,632,208,922.64
  5. Step 5: Solve for x
    x = 6,632,208,922.64/37,438.88
  6. Step 6: Final answer
    x = 177,147.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.