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Finding the Third Proportional to 6,808 and 16,280

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Solution

The third proportional to 6,808 and 16,280 is: 38,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808 : 16,280 = 16,280 : x
  2. Step 2: Convert to fraction form
    6,808/16,280 = 16,280/x
  3. Step 3: Cross multiply
    6,808x = 16,280 × 16,280
  4. Step 4: Simplify right side
    6,808x = 265,038,400
  5. Step 5: Solve for x
    x = 265,038,400/6,808
  6. Step 6: Final answer
    x = 38,930.43

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.