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Finding the Third Proportional to 14,463 and 16,629.75

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Solution

The third proportional to 14,463 and 16,629.75 is: 19,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463 : 16,629.75 = 16,629.75 : x
  2. Step 2: Convert to fraction form
    14,463/16,629.75 = 16,629.75/x
  3. Step 3: Cross multiply
    14,463x = 16,629.75 × 16,629.75
  4. Step 4: Simplify right side
    14,463x = 276,548,585.06
  5. Step 5: Solve for x
    x = 276,548,585.06/14,463
  6. Step 6: Final answer
    x = 19,121.11

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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.