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Finding the Third Proportional to 36,960 and 79,455

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Solution

The third proportional to 36,960 and 79,455 is: 170,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,960 : 79,455 = 79,455 : x
  2. Step 2: Convert to fraction form
    36,960/79,455 = 79,455/x
  3. Step 3: Cross multiply
    36,960x = 79,455 × 79,455
  4. Step 4: Simplify right side
    36,960x = 6,313,097,025
  5. Step 5: Solve for x
    x = 6,313,097,025/36,960
  6. Step 6: Final answer
    x = 170,808.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.