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Finding the Third Proportional to 23,855 and 51,814

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Solution

The third proportional to 23,855 and 51,814 is: 112,542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,855 : 51,814 = 51,814 : x
  2. Step 2: Convert to fraction form
    23,855/51,814 = 51,814/x
  3. Step 3: Cross multiply
    23,855x = 51,814 × 51,814
  4. Step 4: Simplify right side
    23,855x = 2,684,690,596
  5. Step 5: Solve for x
    x = 2,684,690,596/23,855
  6. Step 6: Final answer
    x = 112,542.05

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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.