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Finding the Third Proportional to 18,696 and 39,986

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Solution

The third proportional to 18,696 and 39,986 is: 85,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,696 : 39,986 = 39,986 : x
  2. Step 2: Convert to fraction form
    18,696/39,986 = 39,986/x
  3. Step 3: Cross multiply
    18,696x = 39,986 × 39,986
  4. Step 4: Simplify right side
    18,696x = 1,598,880,196
  5. Step 5: Solve for x
    x = 1,598,880,196/18,696
  6. Step 6: Final answer
    x = 85,519.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.