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Finding the Third Proportional to 22,738 and 49,229

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Solution

The third proportional to 22,738 and 49,229 is: 106,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,738 : 49,229 = 49,229 : x
  2. Step 2: Convert to fraction form
    22,738/49,229 = 49,229/x
  3. Step 3: Cross multiply
    22,738x = 49,229 × 49,229
  4. Step 4: Simplify right side
    22,738x = 2,423,494,441
  5. Step 5: Solve for x
    x = 2,423,494,441/22,738
  6. Step 6: Final answer
    x = 106,583.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.