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Finding the Third Proportional to 5,431.50 and 11,845.13

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Solution

The third proportional to 5,431.50 and 11,845.13 is: 25,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.50 : 11,845.13 = 11,845.13 : x
  2. Step 2: Convert to fraction form
    5,431.50/11,845.13 = 11,845.13/x
  3. Step 3: Cross multiply
    5,431.50x = 11,845.13 × 11,845.13
  4. Step 4: Simplify right side
    5,431.50x = 140,306,986.27
  5. Step 5: Solve for x
    x = 140,306,986.27/5,431.50
  6. Step 6: Final answer
    x = 25,832.09

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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.