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Finding the Third Proportional to 39,186 and 60,696

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Solution

The third proportional to 39,186 and 60,696 is: 94,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,186 : 60,696 = 60,696 : x
  2. Step 2: Convert to fraction form
    39,186/60,696 = 60,696/x
  3. Step 3: Cross multiply
    39,186x = 60,696 × 60,696
  4. Step 4: Simplify right side
    39,186x = 3,684,004,416
  5. Step 5: Solve for x
    x = 3,684,004,416/39,186
  6. Step 6: Final answer
    x = 94,013.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.