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Finding the Third Proportional to 36,576 and 75,736

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Solution

The third proportional to 36,576 and 75,736 is: 156,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,576 : 75,736 = 75,736 : x
  2. Step 2: Convert to fraction form
    36,576/75,736 = 75,736/x
  3. Step 3: Cross multiply
    36,576x = 75,736 × 75,736
  4. Step 4: Simplify right side
    36,576x = 5,735,941,696
  5. Step 5: Solve for x
    x = 5,735,941,696/36,576
  6. Step 6: Final answer
    x = 156,822.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.