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Finding the Third Proportional to 40,249 and 63,825

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Solution

The third proportional to 40,249 and 63,825 is: 101,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,249 : 63,825 = 63,825 : x
  2. Step 2: Convert to fraction form
    40,249/63,825 = 63,825/x
  3. Step 3: Cross multiply
    40,249x = 63,825 × 63,825
  4. Step 4: Simplify right side
    40,249x = 4,073,630,625
  5. Step 5: Solve for x
    x = 4,073,630,625/40,249
  6. Step 6: Final answer
    x = 101,210.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.