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Finding the Third Proportional to 7,965.75 and 17,504.25

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Solution

The third proportional to 7,965.75 and 17,504.25 is: 38,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.75 : 17,504.25 = 17,504.25 : x
  2. Step 2: Convert to fraction form
    7,965.75/17,504.25 = 17,504.25/x
  3. Step 3: Cross multiply
    7,965.75x = 17,504.25 × 17,504.25
  4. Step 4: Simplify right side
    7,965.75x = 306,398,768.06
  5. Step 5: Solve for x
    x = 306,398,768.06/7,965.75
  6. Step 6: Final answer
    x = 38,464.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.