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Finding the Third Proportional to 37,592 and 52,879

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Solution

The third proportional to 37,592 and 52,879 is: 74,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,592 : 52,879 = 52,879 : x
  2. Step 2: Convert to fraction form
    37,592/52,879 = 52,879/x
  3. Step 3: Cross multiply
    37,592x = 52,879 × 52,879
  4. Step 4: Simplify right side
    37,592x = 2,796,188,641
  5. Step 5: Solve for x
    x = 2,796,188,641/37,592
  6. Step 6: Final answer
    x = 74,382.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.