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Finding the Third Proportional to 12,706 and 16,800

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Solution

The third proportional to 12,706 and 16,800 is: 22,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706 : 16,800 = 16,800 : x
  2. Step 2: Convert to fraction form
    12,706/16,800 = 16,800/x
  3. Step 3: Cross multiply
    12,706x = 16,800 × 16,800
  4. Step 4: Simplify right side
    12,706x = 282,240,000
  5. Step 5: Solve for x
    x = 282,240,000/12,706
  6. Step 6: Final answer
    x = 22,213.13

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.