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Finding the Third Proportional to 5,601.66 and 7,850.67

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Solution

The third proportional to 5,601.66 and 7,850.67 is: 11,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.66 : 7,850.67 = 7,850.67 : x
  2. Step 2: Convert to fraction form
    5,601.66/7,850.67 = 7,850.67/x
  3. Step 3: Cross multiply
    5,601.66x = 7,850.67 × 7,850.67
  4. Step 4: Simplify right side
    5,601.66x = 61,633,048.89
  5. Step 5: Solve for x
    x = 61,633,048.89/5,601.66
  6. Step 6: Final answer
    x = 11,002.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.