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Finding the Third Proportional to 36,578 and 54,627

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Solution

The third proportional to 36,578 and 54,627 is: 81,582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578 : 54,627 = 54,627 : x
  2. Step 2: Convert to fraction form
    36,578/54,627 = 54,627/x
  3. Step 3: Cross multiply
    36,578x = 54,627 × 54,627
  4. Step 4: Simplify right side
    36,578x = 2,984,109,129
  5. Step 5: Solve for x
    x = 2,984,109,129/36,578
  6. Step 6: Final answer
    x = 81,582.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.