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Finding the Third Proportional to 10,223 and 22,767

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Solution

The third proportional to 10,223 and 22,767 is: 50,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223 : 22,767 = 22,767 : x
  2. Step 2: Convert to fraction form
    10,223/22,767 = 22,767/x
  3. Step 3: Cross multiply
    10,223x = 22,767 × 22,767
  4. Step 4: Simplify right side
    10,223x = 518,336,289
  5. Step 5: Solve for x
    x = 518,336,289/10,223
  6. Step 6: Final answer
    x = 50,702.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.