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Finding the Third Proportional to 11,884 and 14,044

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Solution

The third proportional to 11,884 and 14,044 is: 16,596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884 : 14,044 = 14,044 : x
  2. Step 2: Convert to fraction form
    11,884/14,044 = 14,044/x
  3. Step 3: Cross multiply
    11,884x = 14,044 × 14,044
  4. Step 4: Simplify right side
    11,884x = 197,233,936
  5. Step 5: Solve for x
    x = 197,233,936/11,884
  6. Step 6: Final answer
    x = 16,596.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.