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Finding the Third Proportional to 23,830 and 52,103

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Solution

The third proportional to 23,830 and 52,103 is: 113,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830 : 52,103 = 52,103 : x
  2. Step 2: Convert to fraction form
    23,830/52,103 = 52,103/x
  3. Step 3: Cross multiply
    23,830x = 52,103 × 52,103
  4. Step 4: Simplify right side
    23,830x = 2,714,722,609
  5. Step 5: Solve for x
    x = 2,714,722,609/23,830
  6. Step 6: Final answer
    x = 113,920.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.