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Finding the Third Proportional to 11,926.50 and 25,635

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Solution

The third proportional to 11,926.50 and 25,635 is: 55,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.50 : 25,635 = 25,635 : x
  2. Step 2: Convert to fraction form
    11,926.50/25,635 = 25,635/x
  3. Step 3: Cross multiply
    11,926.50x = 25,635 × 25,635
  4. Step 4: Simplify right side
    11,926.50x = 657,153,225
  5. Step 5: Solve for x
    x = 657,153,225/11,926.50
  6. Step 6: Final answer
    x = 55,100.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.