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Finding the Third Proportional to 34,204 and 52,539

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Solution

The third proportional to 34,204 and 52,539 is: 80,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204 : 52,539 = 52,539 : x
  2. Step 2: Convert to fraction form
    34,204/52,539 = 52,539/x
  3. Step 3: Cross multiply
    34,204x = 52,539 × 52,539
  4. Step 4: Simplify right side
    34,204x = 2,760,346,521
  5. Step 5: Solve for x
    x = 2,760,346,521/34,204
  6. Step 6: Final answer
    x = 80,702.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.