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Finding the Third Proportional to 5,401.69 and 8,872.03

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Solution

The third proportional to 5,401.69 and 8,872.03 is: 14,571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.69 : 8,872.03 = 8,872.03 : x
  2. Step 2: Convert to fraction form
    5,401.69/8,872.03 = 8,872.03/x
  3. Step 3: Cross multiply
    5,401.69x = 8,872.03 × 8,872.03
  4. Step 4: Simplify right side
    5,401.69x = 78,712,938.50
  5. Step 5: Solve for x
    x = 78,712,938.50/5,401.69
  6. Step 6: Final answer
    x = 14,571.92

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.