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Finding the Third Proportional to 14,474 and 21,995

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Solution

The third proportional to 14,474 and 21,995 is: 33,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474 : 21,995 = 21,995 : x
  2. Step 2: Convert to fraction form
    14,474/21,995 = 21,995/x
  3. Step 3: Cross multiply
    14,474x = 21,995 × 21,995
  4. Step 4: Simplify right side
    14,474x = 483,780,025
  5. Step 5: Solve for x
    x = 483,780,025/14,474
  6. Step 6: Final answer
    x = 33,424.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.