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Finding the Third Proportional to 36,563 and 53,446

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Solution

The third proportional to 36,563 and 53,446 is: 78,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,563 : 53,446 = 53,446 : x
  2. Step 2: Convert to fraction form
    36,563/53,446 = 53,446/x
  3. Step 3: Cross multiply
    36,563x = 53,446 × 53,446
  4. Step 4: Simplify right side
    36,563x = 2,856,474,916
  5. Step 5: Solve for x
    x = 2,856,474,916/36,563
  6. Step 6: Final answer
    x = 78,124.74

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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.