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Finding the Third Proportional to 31,965 and 50,037

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Solution

The third proportional to 31,965 and 50,037 is: 78,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,965 : 50,037 = 50,037 : x
  2. Step 2: Convert to fraction form
    31,965/50,037 = 50,037/x
  3. Step 3: Cross multiply
    31,965x = 50,037 × 50,037
  4. Step 4: Simplify right side
    31,965x = 2,503,701,369
  5. Step 5: Solve for x
    x = 2,503,701,369/31,965
  6. Step 6: Final answer
    x = 78,326.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.