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Finding the Third Proportional to 11,709.56 and 25,378.31

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Solution

The third proportional to 11,709.56 and 25,378.31 is: 55,002.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.56 : 25,378.31 = 25,378.31 : x
  2. Step 2: Convert to fraction form
    11,709.56/25,378.31 = 25,378.31/x
  3. Step 3: Cross multiply
    11,709.56x = 25,378.31 × 25,378.31
  4. Step 4: Simplify right side
    11,709.56x = 644,058,745.35
  5. Step 5: Solve for x
    x = 644,058,745.35/11,709.56
  6. Step 6: Final answer
    x = 55,002.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.