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Finding the Third Proportional to 11,984 and 16,472

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Solution

The third proportional to 11,984 and 16,472 is: 22,640.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984 : 16,472 = 16,472 : x
  2. Step 2: Convert to fraction form
    11,984/16,472 = 16,472/x
  3. Step 3: Cross multiply
    11,984x = 16,472 × 16,472
  4. Step 4: Simplify right side
    11,984x = 271,326,784
  5. Step 5: Solve for x
    x = 271,326,784/11,984
  6. Step 6: Final answer
    x = 22,640.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.