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Finding the Third Proportional to 12,523.50 and 16,869

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Solution

The third proportional to 12,523.50 and 16,869 is: 22,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.50 : 16,869 = 16,869 : x
  2. Step 2: Convert to fraction form
    12,523.50/16,869 = 16,869/x
  3. Step 3: Cross multiply
    12,523.50x = 16,869 × 16,869
  4. Step 4: Simplify right side
    12,523.50x = 284,563,161
  5. Step 5: Solve for x
    x = 284,563,161/12,523.50
  6. Step 6: Final answer
    x = 22,722.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.