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Finding the Third Proportional to 3,666.38 and 5,223.94

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Solution

The third proportional to 3,666.38 and 5,223.94 is: 7,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.38 : 5,223.94 = 5,223.94 : x
  2. Step 2: Convert to fraction form
    3,666.38/5,223.94 = 5,223.94/x
  3. Step 3: Cross multiply
    3,666.38x = 5,223.94 × 5,223.94
  4. Step 4: Simplify right side
    3,666.38x = 27,289,523.00
  5. Step 5: Solve for x
    x = 27,289,523.00/3,666.38
  6. Step 6: Final answer
    x = 7,443.19

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.