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Finding the Third Proportional to 8,119.75 and 17,534.75

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Solution

The third proportional to 8,119.75 and 17,534.75 is: 37,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.75 : 17,534.75 = 17,534.75 : x
  2. Step 2: Convert to fraction form
    8,119.75/17,534.75 = 17,534.75/x
  3. Step 3: Cross multiply
    8,119.75x = 17,534.75 × 17,534.75
  4. Step 4: Simplify right side
    8,119.75x = 307,467,457.56
  5. Step 5: Solve for x
    x = 307,467,457.56/8,119.75
  6. Step 6: Final answer
    x = 37,866.62

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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.