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Finding the Third Proportional to 12,800 and 16,968

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Solution

The third proportional to 12,800 and 16,968 is: 22,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800 : 16,968 = 16,968 : x
  2. Step 2: Convert to fraction form
    12,800/16,968 = 16,968/x
  3. Step 3: Cross multiply
    12,800x = 16,968 × 16,968
  4. Step 4: Simplify right side
    12,800x = 287,913,024
  5. Step 5: Solve for x
    x = 287,913,024/12,800
  6. Step 6: Final answer
    x = 22,493.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.