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Finding the Third Proportional to 37,513.50 and 80,049

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Solution

The third proportional to 37,513.50 and 80,049 is: 170,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,513.50 : 80,049 = 80,049 : x
  2. Step 2: Convert to fraction form
    37,513.50/80,049 = 80,049/x
  3. Step 3: Cross multiply
    37,513.50x = 80,049 × 80,049
  4. Step 4: Simplify right side
    37,513.50x = 6,407,842,401
  5. Step 5: Solve for x
    x = 6,407,842,401/37,513.50
  6. Step 6: Final answer
    x = 170,814.30

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.