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Finding the Third Proportional to 3,688.03 and 5,394.09

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Solution

The third proportional to 3,688.03 and 5,394.09 is: 7,889.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.03 : 5,394.09 = 5,394.09 : x
  2. Step 2: Convert to fraction form
    3,688.03/5,394.09 = 5,394.09/x
  3. Step 3: Cross multiply
    3,688.03x = 5,394.09 × 5,394.09
  4. Step 4: Simplify right side
    3,688.03x = 29,096,247.38
  5. Step 5: Solve for x
    x = 29,096,247.38/3,688.03
  6. Step 6: Final answer
    x = 7,889.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.