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Finding the Third Proportional to 18,960.75 and 27,847.13

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Solution

The third proportional to 18,960.75 and 27,847.13 is: 40,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,960.75 : 27,847.13 = 27,847.13 : x
  2. Step 2: Convert to fraction form
    18,960.75/27,847.13 = 27,847.13/x
  3. Step 3: Cross multiply
    18,960.75x = 27,847.13 × 27,847.13
  4. Step 4: Simplify right side
    18,960.75x = 775,462,370.77
  5. Step 5: Solve for x
    x = 775,462,370.77/18,960.75
  6. Step 6: Final answer
    x = 40,898.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.