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Finding the Third Proportional to 37,072.88 and 79,977.75

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Solution

The third proportional to 37,072.88 and 79,977.75 is: 172,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,072.88 : 79,977.75 = 79,977.75 : x
  2. Step 2: Convert to fraction form
    37,072.88/79,977.75 = 79,977.75/x
  3. Step 3: Cross multiply
    37,072.88x = 79,977.75 × 79,977.75
  4. Step 4: Simplify right side
    37,072.88x = 6,396,440,495.06
  5. Step 5: Solve for x
    x = 6,396,440,495.06/37,072.88
  6. Step 6: Final answer
    x = 172,536.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.