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Finding the Third Proportional to 23,780 and 36,984

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Solution

The third proportional to 23,780 and 36,984 is: 57,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780 : 36,984 = 36,984 : x
  2. Step 2: Convert to fraction form
    23,780/36,984 = 36,984/x
  3. Step 3: Cross multiply
    23,780x = 36,984 × 36,984
  4. Step 4: Simplify right side
    23,780x = 1,367,816,256
  5. Step 5: Solve for x
    x = 1,367,816,256/23,780
  6. Step 6: Final answer
    x = 57,519.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.