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Finding the Third Proportional to 23,186.25 and 26,466.75

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Solution

The third proportional to 23,186.25 and 26,466.75 is: 30,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,186.25 : 26,466.75 = 26,466.75 : x
  2. Step 2: Convert to fraction form
    23,186.25/26,466.75 = 26,466.75/x
  3. Step 3: Cross multiply
    23,186.25x = 26,466.75 × 26,466.75
  4. Step 4: Simplify right side
    23,186.25x = 700,488,855.56
  5. Step 5: Solve for x
    x = 700,488,855.56/23,186.25
  6. Step 6: Final answer
    x = 30,211.39

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.