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Finding the Third Proportional to 10,223 and 22,330

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Solution

The third proportional to 10,223 and 22,330 is: 48,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223 : 22,330 = 22,330 : x
  2. Step 2: Convert to fraction form
    10,223/22,330 = 22,330/x
  3. Step 3: Cross multiply
    10,223x = 22,330 × 22,330
  4. Step 4: Simplify right side
    10,223x = 498,628,900
  5. Step 5: Solve for x
    x = 498,628,900/10,223
  6. Step 6: Final answer
    x = 48,775.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.