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Finding the Third Proportional to 11,644.25 and 25,257.67

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Solution

The third proportional to 11,644.25 and 25,257.67 is: 54,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.25 : 25,257.67 = 25,257.67 : x
  2. Step 2: Convert to fraction form
    11,644.25/25,257.67 = 25,257.67/x
  3. Step 3: Cross multiply
    11,644.25x = 25,257.67 × 25,257.67
  4. Step 4: Simplify right side
    11,644.25x = 637,949,988.55
  5. Step 5: Solve for x
    x = 637,949,988.55/11,644.25
  6. Step 6: Final answer
    x = 54,786.70

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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.