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Finding the Third Proportional to 36,609 and 53,523

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Solution

The third proportional to 36,609 and 53,523 is: 78,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,609 : 53,523 = 53,523 : x
  2. Step 2: Convert to fraction form
    36,609/53,523 = 53,523/x
  3. Step 3: Cross multiply
    36,609x = 53,523 × 53,523
  4. Step 4: Simplify right side
    36,609x = 2,864,711,529
  5. Step 5: Solve for x
    x = 2,864,711,529/36,609
  6. Step 6: Final answer
    x = 78,251.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.