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Finding the Third Proportional to 36,510 and 54,684

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Solution

The third proportional to 36,510 and 54,684 is: 81,904.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,510 : 54,684 = 54,684 : x
  2. Step 2: Convert to fraction form
    36,510/54,684 = 54,684/x
  3. Step 3: Cross multiply
    36,510x = 54,684 × 54,684
  4. Step 4: Simplify right side
    36,510x = 2,990,339,856
  5. Step 5: Solve for x
    x = 2,990,339,856/36,510
  6. Step 6: Final answer
    x = 81,904.68

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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.