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Finding the Third Proportional to 3,699.38 and 7,869.56

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Solution

The third proportional to 3,699.38 and 7,869.56 is: 16,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.38 : 7,869.56 = 7,869.56 : x
  2. Step 2: Convert to fraction form
    3,699.38/7,869.56 = 7,869.56/x
  3. Step 3: Cross multiply
    3,699.38x = 7,869.56 × 7,869.56
  4. Step 4: Simplify right side
    3,699.38x = 61,930,013.94
  5. Step 5: Solve for x
    x = 61,930,013.94/3,699.38
  6. Step 6: Final answer
    x = 16,740.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.