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Finding the Third Proportional to 14,530 and 21,774

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Solution

The third proportional to 14,530 and 21,774 is: 32,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530 : 21,774 = 21,774 : x
  2. Step 2: Convert to fraction form
    14,530/21,774 = 21,774/x
  3. Step 3: Cross multiply
    14,530x = 21,774 × 21,774
  4. Step 4: Simplify right side
    14,530x = 474,107,076
  5. Step 5: Solve for x
    x = 474,107,076/14,530
  6. Step 6: Final answer
    x = 32,629.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.