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Finding the Third Proportional to 36,284 and 76,240

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Solution

The third proportional to 36,284 and 76,240 is: 160,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,284 : 76,240 = 76,240 : x
  2. Step 2: Convert to fraction form
    36,284/76,240 = 76,240/x
  3. Step 3: Cross multiply
    36,284x = 76,240 × 76,240
  4. Step 4: Simplify right side
    36,284x = 5,812,537,600
  5. Step 5: Solve for x
    x = 5,812,537,600/36,284
  6. Step 6: Final answer
    x = 160,195.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.