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Finding the Third Proportional to 7,096.50 and 10,816.88

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Solution

The third proportional to 7,096.50 and 10,816.88 is: 16,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.50 : 10,816.88 = 10,816.88 : x
  2. Step 2: Convert to fraction form
    7,096.50/10,816.88 = 10,816.88/x
  3. Step 3: Cross multiply
    7,096.50x = 10,816.88 × 10,816.88
  4. Step 4: Simplify right side
    7,096.50x = 117,004,784.77
  5. Step 5: Solve for x
    x = 117,004,784.77/7,096.50
  6. Step 6: Final answer
    x = 16,487.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.