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Finding the Third Proportional to 12,431.25 and 27,047.25

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Solution

The third proportional to 12,431.25 and 27,047.25 is: 58,847.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.25 : 27,047.25 = 27,047.25 : x
  2. Step 2: Convert to fraction form
    12,431.25/27,047.25 = 27,047.25/x
  3. Step 3: Cross multiply
    12,431.25x = 27,047.25 × 27,047.25
  4. Step 4: Simplify right side
    12,431.25x = 731,553,732.56
  5. Step 5: Solve for x
    x = 731,553,732.56/12,431.25
  6. Step 6: Final answer
    x = 58,847.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.