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Finding the Third Proportional to 35,980 and 73,387

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Solution

The third proportional to 35,980 and 73,387 is: 149,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980 : 73,387 = 73,387 : x
  2. Step 2: Convert to fraction form
    35,980/73,387 = 73,387/x
  3. Step 3: Cross multiply
    35,980x = 73,387 × 73,387
  4. Step 4: Simplify right side
    35,980x = 5,385,651,769
  5. Step 5: Solve for x
    x = 5,385,651,769/35,980
  6. Step 6: Final answer
    x = 149,684.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.