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Finding the Third Proportional to 6,792 and 16,028

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Solution

The third proportional to 6,792 and 16,028 is: 37,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792 : 16,028 = 16,028 : x
  2. Step 2: Convert to fraction form
    6,792/16,028 = 16,028/x
  3. Step 3: Cross multiply
    6,792x = 16,028 × 16,028
  4. Step 4: Simplify right side
    6,792x = 256,896,784
  5. Step 5: Solve for x
    x = 256,896,784/6,792
  6. Step 6: Final answer
    x = 37,823.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.