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Finding the Third Proportional to 11,958.75 and 25,962.75

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Solution

The third proportional to 11,958.75 and 25,962.75 is: 56,365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.75 : 25,962.75 = 25,962.75 : x
  2. Step 2: Convert to fraction form
    11,958.75/25,962.75 = 25,962.75/x
  3. Step 3: Cross multiply
    11,958.75x = 25,962.75 × 25,962.75
  4. Step 4: Simplify right side
    11,958.75x = 674,064,387.56
  5. Step 5: Solve for x
    x = 674,064,387.56/11,958.75
  6. Step 6: Final answer
    x = 56,365.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.