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Finding the Third Proportional to 8,401.13 and 12,409.69

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Solution

The third proportional to 8,401.13 and 12,409.69 is: 18,330.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.13 : 12,409.69 = 12,409.69 : x
  2. Step 2: Convert to fraction form
    8,401.13/12,409.69 = 12,409.69/x
  3. Step 3: Cross multiply
    8,401.13x = 12,409.69 × 12,409.69
  4. Step 4: Simplify right side
    8,401.13x = 154,000,343.85
  5. Step 5: Solve for x
    x = 154,000,343.85/8,401.13
  6. Step 6: Final answer
    x = 18,330.92

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.