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Finding the Third Proportional to 23,704 and 52,348

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Solution

The third proportional to 23,704 and 52,348 is: 115,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704 : 52,348 = 52,348 : x
  2. Step 2: Convert to fraction form
    23,704/52,348 = 52,348/x
  3. Step 3: Cross multiply
    23,704x = 52,348 × 52,348
  4. Step 4: Simplify right side
    23,704x = 2,740,313,104
  5. Step 5: Solve for x
    x = 2,740,313,104/23,704
  6. Step 6: Final answer
    x = 115,605.51

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.