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Finding the Third Proportional to 23,868 and 52,508

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Solution

The third proportional to 23,868 and 52,508 is: 115,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,868 : 52,508 = 52,508 : x
  2. Step 2: Convert to fraction form
    23,868/52,508 = 52,508/x
  3. Step 3: Cross multiply
    23,868x = 52,508 × 52,508
  4. Step 4: Simplify right side
    23,868x = 2,757,090,064
  5. Step 5: Solve for x
    x = 2,757,090,064/23,868
  6. Step 6: Final answer
    x = 115,514.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.