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Finding the Third Proportional to 40,794 and 59,625

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Solution

The third proportional to 40,794 and 59,625 is: 87,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,794 : 59,625 = 59,625 : x
  2. Step 2: Convert to fraction form
    40,794/59,625 = 59,625/x
  3. Step 3: Cross multiply
    40,794x = 59,625 × 59,625
  4. Step 4: Simplify right side
    40,794x = 3,555,140,625
  5. Step 5: Solve for x
    x = 3,555,140,625/40,794
  6. Step 6: Final answer
    x = 87,148.62

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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.