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Finding the Third Proportional to 9,223 and 14,651

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Solution

The third proportional to 9,223 and 14,651 is: 23,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223 : 14,651 = 14,651 : x
  2. Step 2: Convert to fraction form
    9,223/14,651 = 14,651/x
  3. Step 3: Cross multiply
    9,223x = 14,651 × 14,651
  4. Step 4: Simplify right side
    9,223x = 214,651,801
  5. Step 5: Solve for x
    x = 214,651,801/9,223
  6. Step 6: Final answer
    x = 23,273.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.