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Finding the Third Proportional to 3,679.17 and 7,096.36

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Solution

The third proportional to 3,679.17 and 7,096.36 is: 13,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.17 : 7,096.36 = 7,096.36 : x
  2. Step 2: Convert to fraction form
    3,679.17/7,096.36 = 7,096.36/x
  3. Step 3: Cross multiply
    3,679.17x = 7,096.36 × 7,096.36
  4. Step 4: Simplify right side
    3,679.17x = 50,358,316.38
  5. Step 5: Solve for x
    x = 50,358,316.38/3,679.17
  6. Step 6: Final answer
    x = 13,687.41

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.