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Finding the Third Proportional to 7,650.07 and 16,218.67

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Solution

The third proportional to 7,650.07 and 16,218.67 is: 34,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.07 : 16,218.67 = 16,218.67 : x
  2. Step 2: Convert to fraction form
    7,650.07/16,218.67 = 16,218.67/x
  3. Step 3: Cross multiply
    7,650.07x = 16,218.67 × 16,218.67
  4. Step 4: Simplify right side
    7,650.07x = 263,045,190.68
  5. Step 5: Solve for x
    x = 263,045,190.68/7,650.07
  6. Step 6: Final answer
    x = 34,384.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.