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Finding the Third Proportional to 3,721.50 and 8,553.38

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Solution

The third proportional to 3,721.50 and 8,553.38 is: 19,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.50 : 8,553.38 = 8,553.38 : x
  2. Step 2: Convert to fraction form
    3,721.50/8,553.38 = 8,553.38/x
  3. Step 3: Cross multiply
    3,721.50x = 8,553.38 × 8,553.38
  4. Step 4: Simplify right side
    3,721.50x = 73,160,223.89
  5. Step 5: Solve for x
    x = 73,160,223.89/3,721.50
  6. Step 6: Final answer
    x = 19,658.80

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.