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Finding the Third Proportional to 6,342.75 and 9,515.25

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Solution

The third proportional to 6,342.75 and 9,515.25 is: 14,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.75 : 9,515.25 = 9,515.25 : x
  2. Step 2: Convert to fraction form
    6,342.75/9,515.25 = 9,515.25/x
  3. Step 3: Cross multiply
    6,342.75x = 9,515.25 × 9,515.25
  4. Step 4: Simplify right side
    6,342.75x = 90,539,982.56
  5. Step 5: Solve for x
    x = 90,539,982.56/6,342.75
  6. Step 6: Final answer
    x = 14,274.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.