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Finding the Third Proportional to 24,286 and 52,027

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Solution

The third proportional to 24,286 and 52,027 is: 111,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286 : 52,027 = 52,027 : x
  2. Step 2: Convert to fraction form
    24,286/52,027 = 52,027/x
  3. Step 3: Cross multiply
    24,286x = 52,027 × 52,027
  4. Step 4: Simplify right side
    24,286x = 2,706,808,729
  5. Step 5: Solve for x
    x = 2,706,808,729/24,286
  6. Step 6: Final answer
    x = 111,455.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.