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Finding the Third Proportional to 39,662 and 52,876

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Solution

The third proportional to 39,662 and 52,876 is: 70,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,662 : 52,876 = 52,876 : x
  2. Step 2: Convert to fraction form
    39,662/52,876 = 52,876/x
  3. Step 3: Cross multiply
    39,662x = 52,876 × 52,876
  4. Step 4: Simplify right side
    39,662x = 2,795,871,376
  5. Step 5: Solve for x
    x = 2,795,871,376/39,662
  6. Step 6: Final answer
    x = 70,492.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.