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Finding the Third Proportional to 7,825 and 16,015

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Solution

The third proportional to 7,825 and 16,015 is: 32,777.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825 : 16,015 = 16,015 : x
  2. Step 2: Convert to fraction form
    7,825/16,015 = 16,015/x
  3. Step 3: Cross multiply
    7,825x = 16,015 × 16,015
  4. Step 4: Simplify right side
    7,825x = 256,480,225
  5. Step 5: Solve for x
    x = 256,480,225/7,825
  6. Step 6: Final answer
    x = 32,777.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.