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Finding the Third Proportional to 13,444 and 14,980

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Solution

The third proportional to 13,444 and 14,980 is: 16,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444 : 14,980 = 14,980 : x
  2. Step 2: Convert to fraction form
    13,444/14,980 = 14,980/x
  3. Step 3: Cross multiply
    13,444x = 14,980 × 14,980
  4. Step 4: Simplify right side
    13,444x = 224,400,400
  5. Step 5: Solve for x
    x = 224,400,400/13,444
  6. Step 6: Final answer
    x = 16,691.49

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.