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Finding the Third Proportional to 7,500.75 and 17,364.75

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Solution

The third proportional to 7,500.75 and 17,364.75 is: 40,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500.75 : 17,364.75 = 17,364.75 : x
  2. Step 2: Convert to fraction form
    7,500.75/17,364.75 = 17,364.75/x
  3. Step 3: Cross multiply
    7,500.75x = 17,364.75 × 17,364.75
  4. Step 4: Simplify right side
    7,500.75x = 301,534,542.56
  5. Step 5: Solve for x
    x = 301,534,542.56/7,500.75
  6. Step 6: Final answer
    x = 40,200.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.