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Finding the Third Proportional to 7,825 and 16,295

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Solution

The third proportional to 7,825 and 16,295 is: 33,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825 : 16,295 = 16,295 : x
  2. Step 2: Convert to fraction form
    7,825/16,295 = 16,295/x
  3. Step 3: Cross multiply
    7,825x = 16,295 × 16,295
  4. Step 4: Simplify right side
    7,825x = 265,527,025
  5. Step 5: Solve for x
    x = 265,527,025/7,825
  6. Step 6: Final answer
    x = 33,933.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.