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Finding the Third Proportional to 39,765 and 52,265

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Solution

The third proportional to 39,765 and 52,265 is: 68,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,765 : 52,265 = 52,265 : x
  2. Step 2: Convert to fraction form
    39,765/52,265 = 52,265/x
  3. Step 3: Cross multiply
    39,765x = 52,265 × 52,265
  4. Step 4: Simplify right side
    39,765x = 2,731,630,225
  5. Step 5: Solve for x
    x = 2,731,630,225/39,765
  6. Step 6: Final answer
    x = 68,694.33

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.