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Finding the Third Proportional to 7,682.75 and 10,427.25

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Solution

The third proportional to 7,682.75 and 10,427.25 is: 14,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.75 : 10,427.25 = 10,427.25 : x
  2. Step 2: Convert to fraction form
    7,682.75/10,427.25 = 10,427.25/x
  3. Step 3: Cross multiply
    7,682.75x = 10,427.25 × 10,427.25
  4. Step 4: Simplify right side
    7,682.75x = 108,727,542.56
  5. Step 5: Solve for x
    x = 108,727,542.56/7,682.75
  6. Step 6: Final answer
    x = 14,152.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.