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Finding the Third Proportional to 5,411.67 and 8,133.26

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Solution

The third proportional to 5,411.67 and 8,133.26 is: 12,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.67 : 8,133.26 = 8,133.26 : x
  2. Step 2: Convert to fraction form
    5,411.67/8,133.26 = 8,133.26/x
  3. Step 3: Cross multiply
    5,411.67x = 8,133.26 × 8,133.26
  4. Step 4: Simplify right side
    5,411.67x = 66,149,882.64
  5. Step 5: Solve for x
    x = 66,149,882.64/5,411.67
  6. Step 6: Final answer
    x = 12,223.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.