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Finding the Third Proportional to 11,943 and 17,471.25

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Solution

The third proportional to 11,943 and 17,471.25 is: 25,558.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943 : 17,471.25 = 17,471.25 : x
  2. Step 2: Convert to fraction form
    11,943/17,471.25 = 17,471.25/x
  3. Step 3: Cross multiply
    11,943x = 17,471.25 × 17,471.25
  4. Step 4: Simplify right side
    11,943x = 305,244,576.56
  5. Step 5: Solve for x
    x = 305,244,576.56/11,943
  6. Step 6: Final answer
    x = 25,558.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.