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Finding the Third Proportional to 36,554 and 75,980

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Solution

The third proportional to 36,554 and 75,980 is: 157,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,554 : 75,980 = 75,980 : x
  2. Step 2: Convert to fraction form
    36,554/75,980 = 75,980/x
  3. Step 3: Cross multiply
    36,554x = 75,980 × 75,980
  4. Step 4: Simplify right side
    36,554x = 5,772,960,400
  5. Step 5: Solve for x
    x = 5,772,960,400/36,554
  6. Step 6: Final answer
    x = 157,929.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.