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Finding the Third Proportional to 11,982.75 and 25,700.25

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Solution

The third proportional to 11,982.75 and 25,700.25 is: 55,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.75 : 25,700.25 = 25,700.25 : x
  2. Step 2: Convert to fraction form
    11,982.75/25,700.25 = 25,700.25/x
  3. Step 3: Cross multiply
    11,982.75x = 25,700.25 × 25,700.25
  4. Step 4: Simplify right side
    11,982.75x = 660,502,850.06
  5. Step 5: Solve for x
    x = 660,502,850.06/11,982.75
  6. Step 6: Final answer
    x = 55,121.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.