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Finding the Third Proportional to 34,483 and 52,727

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Solution

The third proportional to 34,483 and 52,727 is: 80,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,483 : 52,727 = 52,727 : x
  2. Step 2: Convert to fraction form
    34,483/52,727 = 52,727/x
  3. Step 3: Cross multiply
    34,483x = 52,727 × 52,727
  4. Step 4: Simplify right side
    34,483x = 2,780,136,529
  5. Step 5: Solve for x
    x = 2,780,136,529/34,483
  6. Step 6: Final answer
    x = 80,623.39

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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.