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Finding the Third Proportional to 12,170.25 and 25,265.25

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Solution

The third proportional to 12,170.25 and 25,265.25 is: 52,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.25 : 25,265.25 = 25,265.25 : x
  2. Step 2: Convert to fraction form
    12,170.25/25,265.25 = 25,265.25/x
  3. Step 3: Cross multiply
    12,170.25x = 25,265.25 × 25,265.25
  4. Step 4: Simplify right side
    12,170.25x = 638,332,857.56
  5. Step 5: Solve for x
    x = 638,332,857.56/12,170.25
  6. Step 6: Final answer
    x = 52,450.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.