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Finding the Third Proportional to 37,960.05 and 83,070.48

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Solution

The third proportional to 37,960.05 and 83,070.48 is: 181,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,960.05 : 83,070.48 = 83,070.48 : x
  2. Step 2: Convert to fraction form
    37,960.05/83,070.48 = 83,070.48/x
  3. Step 3: Cross multiply
    37,960.05x = 83,070.48 × 83,070.48
  4. Step 4: Simplify right side
    37,960.05x = 6,900,705,212.05
  5. Step 5: Solve for x
    x = 6,900,705,212.05/37,960.05
  6. Step 6: Final answer
    x = 181,788.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.