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Finding the Third Proportional to 24,704 and 53,286

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Solution

The third proportional to 24,704 and 53,286 is: 114,936.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704 : 53,286 = 53,286 : x
  2. Step 2: Convert to fraction form
    24,704/53,286 = 53,286/x
  3. Step 3: Cross multiply
    24,704x = 53,286 × 53,286
  4. Step 4: Simplify right side
    24,704x = 2,839,397,796
  5. Step 5: Solve for x
    x = 2,839,397,796/24,704
  6. Step 6: Final answer
    x = 114,936.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.