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Finding the Third Proportional to 24,626 and 51,172

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Solution

The third proportional to 24,626 and 51,172 is: 106,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,626 : 51,172 = 51,172 : x
  2. Step 2: Convert to fraction form
    24,626/51,172 = 51,172/x
  3. Step 3: Cross multiply
    24,626x = 51,172 × 51,172
  4. Step 4: Simplify right side
    24,626x = 2,618,573,584
  5. Step 5: Solve for x
    x = 2,618,573,584/24,626
  6. Step 6: Final answer
    x = 106,333.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.