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Finding the Third Proportional to 23,885 and 36,830

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Solution

The third proportional to 23,885 and 36,830 is: 56,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,885 : 36,830 = 36,830 : x
  2. Step 2: Convert to fraction form
    23,885/36,830 = 36,830/x
  3. Step 3: Cross multiply
    23,885x = 36,830 × 36,830
  4. Step 4: Simplify right side
    23,885x = 1,356,448,900
  5. Step 5: Solve for x
    x = 1,356,448,900/23,885
  6. Step 6: Final answer
    x = 56,790.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.