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Finding the Third Proportional to 3,825 and 10,332

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Solution

The third proportional to 3,825 and 10,332 is: 27,908.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825 : 10,332 = 10,332 : x
  2. Step 2: Convert to fraction form
    3,825/10,332 = 10,332/x
  3. Step 3: Cross multiply
    3,825x = 10,332 × 10,332
  4. Step 4: Simplify right side
    3,825x = 106,750,224
  5. Step 5: Solve for x
    x = 106,750,224/3,825
  6. Step 6: Final answer
    x = 27,908.56

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.