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Finding the Third Proportional to 11,701.13 and 20,806.88

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Solution

The third proportional to 11,701.13 and 20,806.88 is: 36,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.13 : 20,806.88 = 20,806.88 : x
  2. Step 2: Convert to fraction form
    11,701.13/20,806.88 = 20,806.88/x
  3. Step 3: Cross multiply
    11,701.13x = 20,806.88 × 20,806.88
  4. Step 4: Simplify right side
    11,701.13x = 432,926,047.27
  5. Step 5: Solve for x
    x = 432,926,047.27/11,701.13
  6. Step 6: Final answer
    x = 36,998.67

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.