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Finding the Third Proportional to 7,401 and 11,321.50

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Solution

The third proportional to 7,401 and 11,321.50 is: 17,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401 : 11,321.50 = 11,321.50 : x
  2. Step 2: Convert to fraction form
    7,401/11,321.50 = 11,321.50/x
  3. Step 3: Cross multiply
    7,401x = 11,321.50 × 11,321.50
  4. Step 4: Simplify right side
    7,401x = 128,176,362.25
  5. Step 5: Solve for x
    x = 128,176,362.25/7,401
  6. Step 6: Final answer
    x = 17,318.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.