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Finding the Third Proportional to 23,740 and 50,657

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Solution

The third proportional to 23,740 and 50,657 is: 108,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,740 : 50,657 = 50,657 : x
  2. Step 2: Convert to fraction form
    23,740/50,657 = 50,657/x
  3. Step 3: Cross multiply
    23,740x = 50,657 × 50,657
  4. Step 4: Simplify right side
    23,740x = 2,566,131,649
  5. Step 5: Solve for x
    x = 2,566,131,649/23,740
  6. Step 6: Final answer
    x = 108,093.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.