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Finding the Third Proportional to 39,584 and 52,876

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Solution

The third proportional to 39,584 and 52,876 is: 70,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,584 : 52,876 = 52,876 : x
  2. Step 2: Convert to fraction form
    39,584/52,876 = 52,876/x
  3. Step 3: Cross multiply
    39,584x = 52,876 × 52,876
  4. Step 4: Simplify right side
    39,584x = 2,795,871,376
  5. Step 5: Solve for x
    x = 2,795,871,376/39,584
  6. Step 6: Final answer
    x = 70,631.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.