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Finding the Third Proportional to 23,740 and 36,757

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Solution

The third proportional to 23,740 and 36,757 is: 56,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,740 : 36,757 = 36,757 : x
  2. Step 2: Convert to fraction form
    23,740/36,757 = 36,757/x
  3. Step 3: Cross multiply
    23,740x = 36,757 × 36,757
  4. Step 4: Simplify right side
    23,740x = 1,351,077,049
  5. Step 5: Solve for x
    x = 1,351,077,049/23,740
  6. Step 6: Final answer
    x = 56,911.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.