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Finding the Third Proportional to 37,409.25 and 80,007

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Solution

The third proportional to 37,409.25 and 80,007 is: 171,110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,409.25 : 80,007 = 80,007 : x
  2. Step 2: Convert to fraction form
    37,409.25/80,007 = 80,007/x
  3. Step 3: Cross multiply
    37,409.25x = 80,007 × 80,007
  4. Step 4: Simplify right side
    37,409.25x = 6,401,120,049
  5. Step 5: Solve for x
    x = 6,401,120,049/37,409.25
  6. Step 6: Final answer
    x = 171,110.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.