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Finding the Third Proportional to 22,904 and 50,008

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Solution

The third proportional to 22,904 and 50,008 is: 109,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,904 : 50,008 = 50,008 : x
  2. Step 2: Convert to fraction form
    22,904/50,008 = 50,008/x
  3. Step 3: Cross multiply
    22,904x = 50,008 × 50,008
  4. Step 4: Simplify right side
    22,904x = 2,500,800,064
  5. Step 5: Solve for x
    x = 2,500,800,064/22,904
  6. Step 6: Final answer
    x = 109,186.17

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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.