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Finding the Third Proportional to 7,968.25 and 17,509.25

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Solution

The third proportional to 7,968.25 and 17,509.25 is: 38,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.25 : 17,509.25 = 17,509.25 : x
  2. Step 2: Convert to fraction form
    7,968.25/17,509.25 = 17,509.25/x
  3. Step 3: Cross multiply
    7,968.25x = 17,509.25 × 17,509.25
  4. Step 4: Simplify right side
    7,968.25x = 306,573,835.56
  5. Step 5: Solve for x
    x = 306,573,835.56/7,968.25
  6. Step 6: Final answer
    x = 38,474.42

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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.