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Finding the Third Proportional to 11,270.25 and 26,120.25

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Solution

The third proportional to 11,270.25 and 26,120.25 is: 60,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270.25 : 26,120.25 = 26,120.25 : x
  2. Step 2: Convert to fraction form
    11,270.25/26,120.25 = 26,120.25/x
  3. Step 3: Cross multiply
    11,270.25x = 26,120.25 × 26,120.25
  4. Step 4: Simplify right side
    11,270.25x = 682,267,460.06
  5. Step 5: Solve for x
    x = 682,267,460.06/11,270.25
  6. Step 6: Final answer
    x = 60,537.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.