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Finding the Third Proportional to 22,902 and 50,232

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Solution

The third proportional to 22,902 and 50,232 is: 110,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902 : 50,232 = 50,232 : x
  2. Step 2: Convert to fraction form
    22,902/50,232 = 50,232/x
  3. Step 3: Cross multiply
    22,902x = 50,232 × 50,232
  4. Step 4: Simplify right side
    22,902x = 2,523,253,824
  5. Step 5: Solve for x
    x = 2,523,253,824/22,902
  6. Step 6: Final answer
    x = 110,176.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.