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Finding the Third Proportional to 36,960 and 81,007

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Solution

The third proportional to 36,960 and 81,007 is: 177,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,960 : 81,007 = 81,007 : x
  2. Step 2: Convert to fraction form
    36,960/81,007 = 81,007/x
  3. Step 3: Cross multiply
    36,960x = 81,007 × 81,007
  4. Step 4: Simplify right side
    36,960x = 6,562,134,049
  5. Step 5: Solve for x
    x = 6,562,134,049/36,960
  6. Step 6: Final answer
    x = 177,546.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.