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Finding the Third Proportional to 6,025.25 and 9,272.75

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Solution

The third proportional to 6,025.25 and 9,272.75 is: 14,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,025.25 : 9,272.75 = 9,272.75 : x
  2. Step 2: Convert to fraction form
    6,025.25/9,272.75 = 9,272.75/x
  3. Step 3: Cross multiply
    6,025.25x = 9,272.75 × 9,272.75
  4. Step 4: Simplify right side
    6,025.25x = 85,983,892.56
  5. Step 5: Solve for x
    x = 85,983,892.56/6,025.25
  6. Step 6: Final answer
    x = 14,270.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.