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Finding the Third Proportional to 14,950 and 21,775

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Solution

The third proportional to 14,950 and 21,775 is: 31,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,950 : 21,775 = 21,775 : x
  2. Step 2: Convert to fraction form
    14,950/21,775 = 21,775/x
  3. Step 3: Cross multiply
    14,950x = 21,775 × 21,775
  4. Step 4: Simplify right side
    14,950x = 474,150,625
  5. Step 5: Solve for x
    x = 474,150,625/14,950
  6. Step 6: Final answer
    x = 31,715.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.