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Finding the Third Proportional to 5,806.69 and 12,760.03

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Solution

The third proportional to 5,806.69 and 12,760.03 is: 28,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.69 : 12,760.03 = 12,760.03 : x
  2. Step 2: Convert to fraction form
    5,806.69/12,760.03 = 12,760.03/x
  3. Step 3: Cross multiply
    5,806.69x = 12,760.03 × 12,760.03
  4. Step 4: Simplify right side
    5,806.69x = 162,818,397.50
  5. Step 5: Solve for x
    x = 162,818,397.50/5,806.69
  6. Step 6: Final answer
    x = 28,039.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.