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Finding the Third Proportional to 36,416 and 76,752

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Solution

The third proportional to 36,416 and 76,752 is: 161,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,416 : 76,752 = 76,752 : x
  2. Step 2: Convert to fraction form
    36,416/76,752 = 76,752/x
  3. Step 3: Cross multiply
    36,416x = 76,752 × 76,752
  4. Step 4: Simplify right side
    36,416x = 5,890,869,504
  5. Step 5: Solve for x
    x = 5,890,869,504/36,416
  6. Step 6: Final answer
    x = 161,765.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.