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Finding the Third Proportional to 39,778 and 85,651

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Solution

The third proportional to 39,778 and 85,651 is: 184,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,778 : 85,651 = 85,651 : x
  2. Step 2: Convert to fraction form
    39,778/85,651 = 85,651/x
  3. Step 3: Cross multiply
    39,778x = 85,651 × 85,651
  4. Step 4: Simplify right side
    39,778x = 7,336,093,801
  5. Step 5: Solve for x
    x = 7,336,093,801/39,778
  6. Step 6: Final answer
    x = 184,425.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.