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Finding the Third Proportional to 36,100 and 54,308

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Solution

The third proportional to 36,100 and 54,308 is: 81,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,100 : 54,308 = 54,308 : x
  2. Step 2: Convert to fraction form
    36,100/54,308 = 54,308/x
  3. Step 3: Cross multiply
    36,100x = 54,308 × 54,308
  4. Step 4: Simplify right side
    36,100x = 2,949,358,864
  5. Step 5: Solve for x
    x = 2,949,358,864/36,100
  6. Step 6: Final answer
    x = 81,699.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.