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Finding the Third Proportional to 37,073.81 and 79,979.63

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Solution

The third proportional to 37,073.81 and 79,979.63 is: 172,540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,073.81 : 79,979.63 = 79,979.63 : x
  2. Step 2: Convert to fraction form
    37,073.81/79,979.63 = 79,979.63/x
  3. Step 3: Cross multiply
    37,073.81x = 79,979.63 × 79,979.63
  4. Step 4: Simplify right side
    37,073.81x = 6,396,740,415.14
  5. Step 5: Solve for x
    x = 6,396,740,415.14/37,073.81
  6. Step 6: Final answer
    x = 172,540.67

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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.