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Finding the Third Proportional to 36,066 and 76,740

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Solution

The third proportional to 36,066 and 76,740 is: 163,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,066 : 76,740 = 76,740 : x
  2. Step 2: Convert to fraction form
    36,066/76,740 = 76,740/x
  3. Step 3: Cross multiply
    36,066x = 76,740 × 76,740
  4. Step 4: Simplify right side
    36,066x = 5,889,027,600
  5. Step 5: Solve for x
    x = 5,889,027,600/36,066
  6. Step 6: Final answer
    x = 163,284.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.