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Finding the Third Proportional to 23,817 and 51,612

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Solution

The third proportional to 23,817 and 51,612 is: 111,844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817 : 51,612 = 51,612 : x
  2. Step 2: Convert to fraction form
    23,817/51,612 = 51,612/x
  3. Step 3: Cross multiply
    23,817x = 51,612 × 51,612
  4. Step 4: Simplify right side
    23,817x = 2,663,798,544
  5. Step 5: Solve for x
    x = 2,663,798,544/23,817
  6. Step 6: Final answer
    x = 111,844.42

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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.