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Finding the Third Proportional to 23,396 and 49,714

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Solution

The third proportional to 23,396 and 49,714 is: 105,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,396 : 49,714 = 49,714 : x
  2. Step 2: Convert to fraction form
    23,396/49,714 = 49,714/x
  3. Step 3: Cross multiply
    23,396x = 49,714 × 49,714
  4. Step 4: Simplify right side
    23,396x = 2,471,481,796
  5. Step 5: Solve for x
    x = 2,471,481,796/23,396
  6. Step 6: Final answer
    x = 105,636.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.