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Finding the Third Proportional to 24,104 and 52,228

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Solution

The third proportional to 24,104 and 52,228 is: 113,166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,104 : 52,228 = 52,228 : x
  2. Step 2: Convert to fraction form
    24,104/52,228 = 52,228/x
  3. Step 3: Cross multiply
    24,104x = 52,228 × 52,228
  4. Step 4: Simplify right side
    24,104x = 2,727,763,984
  5. Step 5: Solve for x
    x = 2,727,763,984/24,104
  6. Step 6: Final answer
    x = 113,166.44

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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.