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Finding the Third Proportional to 13,880 and 16,024

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Solution

The third proportional to 13,880 and 16,024 is: 18,499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880 : 16,024 = 16,024 : x
  2. Step 2: Convert to fraction form
    13,880/16,024 = 16,024/x
  3. Step 3: Cross multiply
    13,880x = 16,024 × 16,024
  4. Step 4: Simplify right side
    13,880x = 256,768,576
  5. Step 5: Solve for x
    x = 256,768,576/13,880
  6. Step 6: Final answer
    x = 18,499.18

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.