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Finding the Third Proportional to 36,584 and 54,718

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Solution

The third proportional to 36,584 and 54,718 is: 81,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,584 : 54,718 = 54,718 : x
  2. Step 2: Convert to fraction form
    36,584/54,718 = 54,718/x
  3. Step 3: Cross multiply
    36,584x = 54,718 × 54,718
  4. Step 4: Simplify right side
    36,584x = 2,994,059,524
  5. Step 5: Solve for x
    x = 2,994,059,524/36,584
  6. Step 6: Final answer
    x = 81,840.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.