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Finding the Third Proportional to 7,992.75 and 17,415.75

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Solution

The third proportional to 7,992.75 and 17,415.75 is: 37,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.75 : 17,415.75 = 17,415.75 : x
  2. Step 2: Convert to fraction form
    7,992.75/17,415.75 = 17,415.75/x
  3. Step 3: Cross multiply
    7,992.75x = 17,415.75 × 17,415.75
  4. Step 4: Simplify right side
    7,992.75x = 303,308,348.06
  5. Step 5: Solve for x
    x = 303,308,348.06/7,992.75
  6. Step 6: Final answer
    x = 37,947.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.