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Finding the Third Proportional to 10,223 and 22,453

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Solution

The third proportional to 10,223 and 22,453 is: 49,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223 : 22,453 = 22,453 : x
  2. Step 2: Convert to fraction form
    10,223/22,453 = 22,453/x
  3. Step 3: Cross multiply
    10,223x = 22,453 × 22,453
  4. Step 4: Simplify right side
    10,223x = 504,137,209
  5. Step 5: Solve for x
    x = 504,137,209/10,223
  6. Step 6: Final answer
    x = 49,314.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.