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Finding the Third Proportional to 8,089.88 and 10,795.78

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Solution

The third proportional to 8,089.88 and 10,795.78 is: 14,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.88 : 10,795.78 = 10,795.78 : x
  2. Step 2: Convert to fraction form
    8,089.88/10,795.78 = 10,795.78/x
  3. Step 3: Cross multiply
    8,089.88x = 10,795.78 × 10,795.78
  4. Step 4: Simplify right side
    8,089.88x = 116,548,892.80
  5. Step 5: Solve for x
    x = 116,548,892.80/8,089.88
  6. Step 6: Final answer
    x = 14,406.76

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.