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Finding the Third Proportional to 7,832 and 16,028

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Solution

The third proportional to 7,832 and 16,028 is: 32,800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832 : 16,028 = 16,028 : x
  2. Step 2: Convert to fraction form
    7,832/16,028 = 16,028/x
  3. Step 3: Cross multiply
    7,832x = 16,028 × 16,028
  4. Step 4: Simplify right side
    7,832x = 256,896,784
  5. Step 5: Solve for x
    x = 256,896,784/7,832
  6. Step 6: Final answer
    x = 32,800.92

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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.