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Finding the Third Proportional to 34,443 and 52,684

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Solution

The third proportional to 34,443 and 52,684 is: 80,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,443 : 52,684 = 52,684 : x
  2. Step 2: Convert to fraction form
    34,443/52,684 = 52,684/x
  3. Step 3: Cross multiply
    34,443x = 52,684 × 52,684
  4. Step 4: Simplify right side
    34,443x = 2,775,603,856
  5. Step 5: Solve for x
    x = 2,775,603,856/34,443
  6. Step 6: Final answer
    x = 80,585.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.