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Finding the Third Proportional to 36,668 and 55,083

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Solution

The third proportional to 36,668 and 55,083 is: 82,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,668 : 55,083 = 55,083 : x
  2. Step 2: Convert to fraction form
    36,668/55,083 = 55,083/x
  3. Step 3: Cross multiply
    36,668x = 55,083 × 55,083
  4. Step 4: Simplify right side
    36,668x = 3,034,136,889
  5. Step 5: Solve for x
    x = 3,034,136,889/36,668
  6. Step 6: Final answer
    x = 82,746.18

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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.