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Finding the Third Proportional to 17,122.50 and 25,917.75

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Solution

The third proportional to 17,122.50 and 25,917.75 is: 39,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,122.50 : 25,917.75 = 25,917.75 : x
  2. Step 2: Convert to fraction form
    17,122.50/25,917.75 = 25,917.75/x
  3. Step 3: Cross multiply
    17,122.50x = 25,917.75 × 25,917.75
  4. Step 4: Simplify right side
    17,122.50x = 671,729,765.06
  5. Step 5: Solve for x
    x = 671,729,765.06/17,122.50
  6. Step 6: Final answer
    x = 39,230.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.