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Finding the Third Proportional to 36,320 and 54,788

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Solution

The third proportional to 36,320 and 54,788 is: 82,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,320 : 54,788 = 54,788 : x
  2. Step 2: Convert to fraction form
    36,320/54,788 = 54,788/x
  3. Step 3: Cross multiply
    36,320x = 54,788 × 54,788
  4. Step 4: Simplify right side
    36,320x = 3,001,724,944
  5. Step 5: Solve for x
    x = 3,001,724,944/36,320
  6. Step 6: Final answer
    x = 82,646.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.