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Finding the Third Proportional to 13,996 and 16,444

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Solution

The third proportional to 13,996 and 16,444 is: 19,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,996 : 16,444 = 16,444 : x
  2. Step 2: Convert to fraction form
    13,996/16,444 = 16,444/x
  3. Step 3: Cross multiply
    13,996x = 16,444 × 16,444
  4. Step 4: Simplify right side
    13,996x = 270,405,136
  5. Step 5: Solve for x
    x = 270,405,136/13,996
  6. Step 6: Final answer
    x = 19,320.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.